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Finding the Fourth Proportional to 10,234.16, 15,340.80 and 6,073.40

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Solution

The fourth proportional to 10,234.16, 15,340.80 and 6,073.40 is: 9,103.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,234.16 : 15,340.80 = 6,073.40 : x
  2. Step 2: Convert to fraction form
    10,234.16/15,340.80 = 6,073.40/x
  3. Step 3: Cross multiply
    10,234.16x = 15,340.80 × 6,073.40
  4. Step 4: Simplify right side
    10,234.16x = 93,170,814.72
  5. Step 5: Solve for x
    x = 93,170,814.72/10,234.16
  6. Step 6: Final answer
    x = 9,103.90

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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.