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Finding the Fourth Proportional to 8,691.94, 13,035.89 and 5,182.93

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Solution

The fourth proportional to 8,691.94, 13,035.89 and 5,182.93 is: 7,773.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,691.94 : 13,035.89 = 5,182.93 : x
  2. Step 2: Convert to fraction form
    8,691.94/13,035.89 = 5,182.93/x
  3. Step 3: Cross multiply
    8,691.94x = 13,035.89 × 5,182.93
  4. Step 4: Simplify right side
    8,691.94x = 67,564,105.36
  5. Step 5: Solve for x
    x = 67,564,105.36/8,691.94
  6. Step 6: Final answer
    x = 7,773.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.