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Finding the Fourth Proportional to 10,381.68, 15,574.98 and 4,142.04

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Solution

The fourth proportional to 10,381.68, 15,574.98 and 4,142.04 is: 6,214.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,381.68 : 15,574.98 = 4,142.04 : x
  2. Step 2: Convert to fraction form
    10,381.68/15,574.98 = 4,142.04/x
  3. Step 3: Cross multiply
    10,381.68x = 15,574.98 × 4,142.04
  4. Step 4: Simplify right side
    10,381.68x = 64,512,190.16
  5. Step 5: Solve for x
    x = 64,512,190.16/10,381.68
  6. Step 6: Final answer
    x = 6,214.04

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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.