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Finding the Fourth Proportional to 7,505.10, 10,356.50 and 4,147.88

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Solution

The fourth proportional to 7,505.10, 10,356.50 and 4,147.88 is: 5,723.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,505.10 : 10,356.50 = 4,147.88 : x
  2. Step 2: Convert to fraction form
    7,505.10/10,356.50 = 4,147.88/x
  3. Step 3: Cross multiply
    7,505.10x = 10,356.50 × 4,147.88
  4. Step 4: Simplify right side
    7,505.10x = 42,957,446.70
  5. Step 5: Solve for x
    x = 42,957,446.70/7,505.10
  6. Step 6: Final answer
    x = 5,723.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.