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Finding the Fourth Proportional to 10,300.92, 15,454.08 and 4,456.16

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Solution

The fourth proportional to 10,300.92, 15,454.08 and 4,456.16 is: 6,685.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,300.92 : 15,454.08 = 4,456.16 : x
  2. Step 2: Convert to fraction form
    10,300.92/15,454.08 = 4,456.16/x
  3. Step 3: Cross multiply
    10,300.92x = 15,454.08 × 4,456.16
  4. Step 4: Simplify right side
    10,300.92x = 68,865,853.13
  5. Step 5: Solve for x
    x = 68,865,853.13/10,300.92
  6. Step 6: Final answer
    x = 6,685.41

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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.