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Finding the Fourth Proportional to 11,564.97, 15,959.70 and 6,259.78

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Solution

The fourth proportional to 11,564.97, 15,959.70 and 6,259.78 is: 8,638.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,564.97 : 15,959.70 = 6,259.78 : x
  2. Step 2: Convert to fraction form
    11,564.97/15,959.70 = 6,259.78/x
  3. Step 3: Cross multiply
    11,564.97x = 15,959.70 × 6,259.78
  4. Step 4: Simplify right side
    11,564.97x = 99,904,210.87
  5. Step 5: Solve for x
    x = 99,904,210.87/11,564.97
  6. Step 6: Final answer
    x = 8,638.52

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