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Finding the Fourth Proportional to 13,108.77, 19,658.89 and 5,711.04

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Solution

The fourth proportional to 13,108.77, 19,658.89 and 5,711.04 is: 8,564.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,108.77 : 19,658.89 = 5,711.04 : x
  2. Step 2: Convert to fraction form
    13,108.77/19,658.89 = 5,711.04/x
  3. Step 3: Cross multiply
    13,108.77x = 19,658.89 × 5,711.04
  4. Step 4: Simplify right side
    13,108.77x = 112,272,707.15
  5. Step 5: Solve for x
    x = 112,272,707.15/13,108.77
  6. Step 6: Final answer
    x = 8,564.70

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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.