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Finding the Fourth Proportional to 11,557.32, 17,322.08 and 6,007.50

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Solution

The fourth proportional to 11,557.32, 17,322.08 and 6,007.50 is: 9,004.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,557.32 : 17,322.08 = 6,007.50 : x
  2. Step 2: Convert to fraction form
    11,557.32/17,322.08 = 6,007.50/x
  3. Step 3: Cross multiply
    11,557.32x = 17,322.08 × 6,007.50
  4. Step 4: Simplify right side
    11,557.32x = 104,062,395.60
  5. Step 5: Solve for x
    x = 104,062,395.60/11,557.32
  6. Step 6: Final answer
    x = 9,004.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.