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Finding the Fourth Proportional to 10,387.68, 14,335.02 and 5,672.04

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Solution

The fourth proportional to 10,387.68, 14,335.02 and 5,672.04 is: 7,827.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,387.68 : 14,335.02 = 5,672.04 : x
  2. Step 2: Convert to fraction form
    10,387.68/14,335.02 = 5,672.04/x
  3. Step 3: Cross multiply
    10,387.68x = 14,335.02 × 5,672.04
  4. Step 4: Simplify right side
    10,387.68x = 81,308,806.84
  5. Step 5: Solve for x
    x = 81,308,806.84/10,387.68
  6. Step 6: Final answer
    x = 7,827.43

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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.