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Finding the Fourth Proportional to 10,591.34, 14,624.33 and 7,234.29

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Solution

The fourth proportional to 10,591.34, 14,624.33 and 7,234.29 is: 9,988.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,591.34 : 14,624.33 = 7,234.29 : x
  2. Step 2: Convert to fraction form
    10,591.34/14,624.33 = 7,234.29/x
  3. Step 3: Cross multiply
    10,591.34x = 14,624.33 × 7,234.29
  4. Step 4: Simplify right side
    10,591.34x = 105,796,608.10
  5. Step 5: Solve for x
    x = 105,796,608.10/10,591.34
  6. Step 6: Final answer
    x = 9,988.98

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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.