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Finding the Fourth Proportional to 7,613.58, 11,424.16 and 5,142.98

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Solution

The fourth proportional to 7,613.58, 11,424.16 and 5,142.98 is: 7,717.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,613.58 : 11,424.16 = 5,142.98 : x
  2. Step 2: Convert to fraction form
    7,613.58/11,424.16 = 5,142.98/x
  3. Step 3: Cross multiply
    7,613.58x = 11,424.16 × 5,142.98
  4. Step 4: Simplify right side
    7,613.58x = 58,754,226.40
  5. Step 5: Solve for x
    x = 58,754,226.40/7,613.58
  6. Step 6: Final answer
    x = 7,717.03

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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.