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Finding the Fourth Proportional to 8,488.25, 11,713.25 and 4,711.49

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Solution

The fourth proportional to 8,488.25, 11,713.25 and 4,711.49 is: 6,501.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,488.25 : 11,713.25 = 4,711.49 : x
  2. Step 2: Convert to fraction form
    8,488.25/11,713.25 = 4,711.49/x
  3. Step 3: Cross multiply
    8,488.25x = 11,713.25 × 4,711.49
  4. Step 4: Simplify right side
    8,488.25x = 55,186,836.69
  5. Step 5: Solve for x
    x = 55,186,836.69/8,488.25
  6. Step 6: Final answer
    x = 6,501.56

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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.