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Finding the Fourth Proportional to 10,251.16, 15,355.98 and 6,078.65

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Solution

The fourth proportional to 10,251.16, 15,355.98 and 6,078.65 is: 9,105.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,251.16 : 15,355.98 = 6,078.65 : x
  2. Step 2: Convert to fraction form
    10,251.16/15,355.98 = 6,078.65/x
  3. Step 3: Cross multiply
    10,251.16x = 15,355.98 × 6,078.65
  4. Step 4: Simplify right side
    10,251.16x = 93,343,551.05
  5. Step 5: Solve for x
    x = 93,343,551.05/10,251.16
  6. Step 6: Final answer
    x = 9,105.66

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Why These Related Problems?

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