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Finding the Fourth Proportional to 11,059.32, 15,261.71 and 6,343.50

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Solution

The fourth proportional to 11,059.32, 15,261.71 and 6,343.50 is: 8,753.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,059.32 : 15,261.71 = 6,343.50 : x
  2. Step 2: Convert to fraction form
    11,059.32/15,261.71 = 6,343.50/x
  3. Step 3: Cross multiply
    11,059.32x = 15,261.71 × 6,343.50
  4. Step 4: Simplify right side
    11,059.32x = 96,812,657.39
  5. Step 5: Solve for x
    x = 96,812,657.39/11,059.32
  6. Step 6: Final answer
    x = 8,753.94

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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.