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Finding the Fourth Proportional to 11,348.12, 17,013.98 and 7,641.16

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Solution

The fourth proportional to 11,348.12, 17,013.98 and 7,641.16 is: 11,456.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,348.12 : 17,013.98 = 7,641.16 : x
  2. Step 2: Convert to fraction form
    11,348.12/17,013.98 = 7,641.16/x
  3. Step 3: Cross multiply
    11,348.12x = 17,013.98 × 7,641.16
  4. Step 4: Simplify right side
    11,348.12x = 130,006,543.42
  5. Step 5: Solve for x
    x = 130,006,543.42/11,348.12
  6. Step 6: Final answer
    x = 11,456.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.