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Finding the Fourth Proportional to 7,616.74, 11,417.36 and 3,459.71

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Solution

The fourth proportional to 7,616.74, 11,417.36 and 3,459.71 is: 5,186.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,616.74 : 11,417.36 = 3,459.71 : x
  2. Step 2: Convert to fraction form
    7,616.74/11,417.36 = 3,459.71/x
  3. Step 3: Cross multiply
    7,616.74x = 11,417.36 × 3,459.71
  4. Step 4: Simplify right side
    7,616.74x = 39,500,754.57
  5. Step 5: Solve for x
    x = 39,500,754.57/7,616.74
  6. Step 6: Final answer
    x = 5,186.04

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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.