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Finding the Fourth Proportional to 7,387.98, 10,199.18 and 5,705.61

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Solution

The fourth proportional to 7,387.98, 10,199.18 and 5,705.61 is: 7,876.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,387.98 : 10,199.18 = 5,705.61 : x
  2. Step 2: Convert to fraction form
    7,387.98/10,199.18 = 5,705.61/x
  3. Step 3: Cross multiply
    7,387.98x = 10,199.18 × 5,705.61
  4. Step 4: Simplify right side
    7,387.98x = 58,192,543.40
  5. Step 5: Solve for x
    x = 58,192,543.40/7,387.98
  6. Step 6: Final answer
    x = 7,876.65

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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.