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Finding the Fourth Proportional to 11,565.09, 15,959.65 and 6,460.68

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Solution

The fourth proportional to 11,565.09, 15,959.65 and 6,460.68 is: 8,915.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,565.09 : 15,959.65 = 6,460.68 : x
  2. Step 2: Convert to fraction form
    11,565.09/15,959.65 = 6,460.68/x
  3. Step 3: Cross multiply
    11,565.09x = 15,959.65 × 6,460.68
  4. Step 4: Simplify right side
    11,565.09x = 103,110,191.56
  5. Step 5: Solve for x
    x = 103,110,191.56/11,565.09
  6. Step 6: Final answer
    x = 8,915.64

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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.