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Finding the Fourth Proportional to 11,602.71, 16,009.08 and 7,832.88

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Solution

The fourth proportional to 11,602.71, 16,009.08 and 7,832.88 is: 10,807.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,602.71 : 16,009.08 = 7,832.88 : x
  2. Step 2: Convert to fraction form
    11,602.71/16,009.08 = 7,832.88/x
  3. Step 3: Cross multiply
    11,602.71x = 16,009.08 × 7,832.88
  4. Step 4: Simplify right side
    11,602.71x = 125,397,202.55
  5. Step 5: Solve for x
    x = 125,397,202.55/11,602.71
  6. Step 6: Final answer
    x = 10,807.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.