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Finding the Fourth Proportional to 11,566.17, 15,961.32 and 6,261

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Solution

The fourth proportional to 11,566.17, 15,961.32 and 6,261 is: 8,640.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,566.17 : 15,961.32 = 6,261 : x
  2. Step 2: Convert to fraction form
    11,566.17/15,961.32 = 6,261/x
  3. Step 3: Cross multiply
    11,566.17x = 15,961.32 × 6,261
  4. Step 4: Simplify right side
    11,566.17x = 99,933,824.52
  5. Step 5: Solve for x
    x = 99,933,824.52/11,566.17
  6. Step 6: Final answer
    x = 8,640.18

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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.