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Finding the Fourth Proportional to 7,613.12, 10,519.80 and 5,938.76

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Solution

The fourth proportional to 7,613.12, 10,519.80 and 5,938.76 is: 8,206.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,613.12 : 10,519.80 = 5,938.76 : x
  2. Step 2: Convert to fraction form
    7,613.12/10,519.80 = 5,938.76/x
  3. Step 3: Cross multiply
    7,613.12x = 10,519.80 × 5,938.76
  4. Step 4: Simplify right side
    7,613.12x = 62,474,567.45
  5. Step 5: Solve for x
    x = 62,474,567.45/7,613.12
  6. Step 6: Final answer
    x = 8,206.17

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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.