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Finding the Fourth Proportional to 10,463.65, 15,697.94 and 3,444.21

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Solution

The fourth proportional to 10,463.65, 15,697.94 and 3,444.21 is: 5,167.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,463.65 : 15,697.94 = 3,444.21 : x
  2. Step 2: Convert to fraction form
    10,463.65/15,697.94 = 3,444.21/x
  3. Step 3: Cross multiply
    10,463.65x = 15,697.94 × 3,444.21
  4. Step 4: Simplify right side
    10,463.65x = 54,067,056.49
  5. Step 5: Solve for x
    x = 54,067,056.49/10,463.65
  6. Step 6: Final answer
    x = 5,167.13

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