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Finding the Fourth Proportional to 5,123.16, 7,668.14 and 4,754.07

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Solution

The fourth proportional to 5,123.16, 7,668.14 and 4,754.07 is: 7,115.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,123.16 : 7,668.14 = 4,754.07 : x
  2. Step 2: Convert to fraction form
    5,123.16/7,668.14 = 4,754.07/x
  3. Step 3: Cross multiply
    5,123.16x = 7,668.14 × 4,754.07
  4. Step 4: Simplify right side
    5,123.16x = 36,454,850.56
  5. Step 5: Solve for x
    x = 36,454,850.56/5,123.16
  6. Step 6: Final answer
    x = 7,115.70

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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.