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Finding the Fourth Proportional to 11,565.14, 15,959.94 and 6,260.02

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Solution

The fourth proportional to 11,565.14, 15,959.94 and 6,260.02 is: 8,638.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,565.14 : 15,959.94 = 6,260.02 : x
  2. Step 2: Convert to fraction form
    11,565.14/15,959.94 = 6,260.02/x
  3. Step 3: Cross multiply
    11,565.14x = 15,959.94 × 6,260.02
  4. Step 4: Simplify right side
    11,565.14x = 99,909,543.60
  5. Step 5: Solve for x
    x = 99,909,543.60/11,565.14
  6. Step 6: Final answer
    x = 8,638.85

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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.