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Finding the Fourth Proportional to 11,065.66, 15,272.58 and 6,592

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Solution

The fourth proportional to 11,065.66, 15,272.58 and 6,592 is: 9,098.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,065.66 : 15,272.58 = 6,592 : x
  2. Step 2: Convert to fraction form
    11,065.66/15,272.58 = 6,592/x
  3. Step 3: Cross multiply
    11,065.66x = 15,272.58 × 6,592
  4. Step 4: Simplify right side
    11,065.66x = 100,676,847.36
  5. Step 5: Solve for x
    x = 100,676,847.36/11,065.66
  6. Step 6: Final answer
    x = 9,098.13

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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.