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Finding the Fourth Proportional to 10,200.92, 15,288.42 and 4,657.28

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Solution

The fourth proportional to 10,200.92, 15,288.42 and 4,657.28 is: 6,980.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,200.92 : 15,288.42 = 4,657.28 : x
  2. Step 2: Convert to fraction form
    10,200.92/15,288.42 = 4,657.28/x
  3. Step 3: Cross multiply
    10,200.92x = 15,288.42 × 4,657.28
  4. Step 4: Simplify right side
    10,200.92x = 71,202,452.70
  5. Step 5: Solve for x
    x = 71,202,452.70/10,200.92
  6. Step 6: Final answer
    x = 6,980.00

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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.