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Finding the Fourth Proportional to 11,449.66, 15,810.32 and 8,612.13

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Solution

The fourth proportional to 11,449.66, 15,810.32 and 8,612.13 is: 11,892.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,449.66 : 15,810.32 = 8,612.13 : x
  2. Step 2: Convert to fraction form
    11,449.66/15,810.32 = 8,612.13/x
  3. Step 3: Cross multiply
    11,449.66x = 15,810.32 × 8,612.13
  4. Step 4: Simplify right side
    11,449.66x = 136,160,531.18
  5. Step 5: Solve for x
    x = 136,160,531.18/11,449.66
  6. Step 6: Final answer
    x = 11,892.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.