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Finding the Fourth Proportional to 13,378.29, 18,461.98 and 7,713

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Solution

The fourth proportional to 13,378.29, 18,461.98 and 7,713 is: 10,643.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,378.29 : 18,461.98 = 7,713 : x
  2. Step 2: Convert to fraction form
    13,378.29/18,461.98 = 7,713/x
  3. Step 3: Cross multiply
    13,378.29x = 18,461.98 × 7,713
  4. Step 4: Simplify right side
    13,378.29x = 142,397,251.74
  5. Step 5: Solve for x
    x = 142,397,251.74/13,378.29
  6. Step 6: Final answer
    x = 10,643.91

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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.