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Finding the Fourth Proportional to 8,488.29, 11,713.97 and 4,711.70

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Solution

The fourth proportional to 8,488.29, 11,713.97 and 4,711.70 is: 6,502.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,488.29 : 11,713.97 = 4,711.70 : x
  2. Step 2: Convert to fraction form
    8,488.29/11,713.97 = 4,711.70/x
  3. Step 3: Cross multiply
    8,488.29x = 11,713.97 × 4,711.70
  4. Step 4: Simplify right side
    8,488.29x = 55,192,712.45
  5. Step 5: Solve for x
    x = 55,192,712.45/8,488.29
  6. Step 6: Final answer
    x = 6,502.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.