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Finding the Fourth Proportional to 10,966.61, 15,120.20 and 9,152.24

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Solution

The fourth proportional to 10,966.61, 15,120.20 and 9,152.24 is: 12,618.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,966.61 : 15,120.20 = 9,152.24 : x
  2. Step 2: Convert to fraction form
    10,966.61/15,120.20 = 9,152.24/x
  3. Step 3: Cross multiply
    10,966.61x = 15,120.20 × 9,152.24
  4. Step 4: Simplify right side
    10,966.61x = 138,383,699.25
  5. Step 5: Solve for x
    x = 138,383,699.25/10,966.61
  6. Step 6: Final answer
    x = 12,618.65

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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.