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Finding the Fourth Proportional to 11,159.84, 15,397.48 and 7,974.10

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Solution

The fourth proportional to 11,159.84, 15,397.48 and 7,974.10 is: 11,002.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,159.84 : 15,397.48 = 7,974.10 : x
  2. Step 2: Convert to fraction form
    11,159.84/15,397.48 = 7,974.10/x
  3. Step 3: Cross multiply
    11,159.84x = 15,397.48 × 7,974.10
  4. Step 4: Simplify right side
    11,159.84x = 122,781,045.27
  5. Step 5: Solve for x
    x = 122,781,045.27/11,159.84
  6. Step 6: Final answer
    x = 11,002.04

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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.