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Finding the Fourth Proportional to 10,378.80, 15,467.53 and 10,046.72

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Solution

The fourth proportional to 10,378.80, 15,467.53 and 10,046.72 is: 14,972.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,378.80 : 15,467.53 = 10,046.72 : x
  2. Step 2: Convert to fraction form
    10,378.80/15,467.53 = 10,046.72/x
  3. Step 3: Cross multiply
    10,378.80x = 15,467.53 × 10,046.72
  4. Step 4: Simplify right side
    10,378.80x = 155,397,943.00
  5. Step 5: Solve for x
    x = 155,397,943.00/10,378.80
  6. Step 6: Final answer
    x = 14,972.63

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.