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Finding the Fourth Proportional to 10,280.91, 15,419.06 and 4,728.92

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Solution

The fourth proportional to 10,280.91, 15,419.06 and 4,728.92 is: 7,092.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,280.91 : 15,419.06 = 4,728.92 : x
  2. Step 2: Convert to fraction form
    10,280.91/15,419.06 = 4,728.92/x
  3. Step 3: Cross multiply
    10,280.91x = 15,419.06 × 4,728.92
  4. Step 4: Simplify right side
    10,280.91x = 72,915,533.85
  5. Step 5: Solve for x
    x = 72,915,533.85/10,280.91
  6. Step 6: Final answer
    x = 7,092.32

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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.