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Finding the Fourth Proportional to 7,567.91, 11,351.88 and 3,407.15

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Solution

The fourth proportional to 7,567.91, 11,351.88 and 3,407.15 is: 5,110.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,567.91 : 11,351.88 = 3,407.15 : x
  2. Step 2: Convert to fraction form
    7,567.91/11,351.88 = 3,407.15/x
  3. Step 3: Cross multiply
    7,567.91x = 11,351.88 × 3,407.15
  4. Step 4: Simplify right side
    7,567.91x = 38,677,501.18
  5. Step 5: Solve for x
    x = 38,677,501.18/7,567.91
  6. Step 6: Final answer
    x = 5,110.73

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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.