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Finding the Fourth Proportional to 7,658.83, 11,487.33 and 3,497.72

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Solution

The fourth proportional to 7,658.83, 11,487.33 and 3,497.72 is: 5,246.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,658.83 : 11,487.33 = 3,497.72 : x
  2. Step 2: Convert to fraction form
    7,658.83/11,487.33 = 3,497.72/x
  3. Step 3: Cross multiply
    7,658.83x = 11,487.33 × 3,497.72
  4. Step 4: Simplify right side
    7,658.83x = 40,179,459.83
  5. Step 5: Solve for x
    x = 40,179,459.83/7,658.83
  6. Step 6: Final answer
    x = 5,246.16

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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.