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Finding the Fourth Proportional to 7,306.79, 10,082.76 and 4,120.87

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Solution

The fourth proportional to 7,306.79, 10,082.76 and 4,120.87 is: 5,686.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,306.79 : 10,082.76 = 4,120.87 : x
  2. Step 2: Convert to fraction form
    7,306.79/10,082.76 = 4,120.87/x
  3. Step 3: Cross multiply
    7,306.79x = 10,082.76 × 4,120.87
  4. Step 4: Simplify right side
    7,306.79x = 41,549,743.20
  5. Step 5: Solve for x
    x = 41,549,743.20/7,306.79
  6. Step 6: Final answer
    x = 5,686.46

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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.