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Finding the Fourth Proportional to 11,565.36, 15,959.43 and 6,460.81

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Solution

The fourth proportional to 11,565.36, 15,959.43 and 6,460.81 is: 8,915.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,565.36 : 15,959.43 = 6,460.81 : x
  2. Step 2: Convert to fraction form
    11,565.36/15,959.43 = 6,460.81/x
  3. Step 3: Cross multiply
    11,565.36x = 15,959.43 × 6,460.81
  4. Step 4: Simplify right side
    11,565.36x = 103,110,805.04
  5. Step 5: Solve for x
    x = 103,110,805.04/11,565.36
  6. Step 6: Final answer
    x = 8,915.49

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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.