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Finding the Fourth Proportional to 11,345.28, 15,656.24 and 6,564.87

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Solution

The fourth proportional to 11,345.28, 15,656.24 and 6,564.87 is: 9,059.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,345.28 : 15,656.24 = 6,564.87 : x
  2. Step 2: Convert to fraction form
    11,345.28/15,656.24 = 6,564.87/x
  3. Step 3: Cross multiply
    11,345.28x = 15,656.24 × 6,564.87
  4. Step 4: Simplify right side
    11,345.28x = 102,781,147.46
  5. Step 5: Solve for x
    x = 102,781,147.46/11,345.28
  6. Step 6: Final answer
    x = 9,059.38

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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.