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Finding the Fourth Proportional to 10,387.98, 14,335.49 and 5,672.37

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Solution

The fourth proportional to 10,387.98, 14,335.49 and 5,672.37 is: 7,827.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,387.98 : 14,335.49 = 5,672.37 : x
  2. Step 2: Convert to fraction form
    10,387.98/14,335.49 = 5,672.37/x
  3. Step 3: Cross multiply
    10,387.98x = 14,335.49 × 5,672.37
  4. Step 4: Simplify right side
    10,387.98x = 81,316,175.05
  5. Step 5: Solve for x
    x = 81,316,175.05/10,387.98
  6. Step 6: Final answer
    x = 7,827.91

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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.