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Finding the Fourth Proportional to 7,234.15, 10,840 and 5,017.31

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Solution

The fourth proportional to 7,234.15, 10,840 and 5,017.31 is: 7,518.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,234.15 : 10,840 = 5,017.31 : x
  2. Step 2: Convert to fraction form
    7,234.15/10,840 = 5,017.31/x
  3. Step 3: Cross multiply
    7,234.15x = 10,840 × 5,017.31
  4. Step 4: Simplify right side
    7,234.15x = 54,387,640.40
  5. Step 5: Solve for x
    x = 54,387,640.40/7,234.15
  6. Step 6: Final answer
    x = 7,518.18

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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.