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Finding the Fourth Proportional to 10,387.80, 14,335.46 and 5,672.39

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Solution

The fourth proportional to 10,387.80, 14,335.46 and 5,672.39 is: 7,828.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,387.80 : 14,335.46 = 5,672.39 : x
  2. Step 2: Convert to fraction form
    10,387.80/14,335.46 = 5,672.39/x
  3. Step 3: Cross multiply
    10,387.80x = 14,335.46 × 5,672.39
  4. Step 4: Simplify right side
    10,387.80x = 81,316,219.91
  5. Step 5: Solve for x
    x = 81,316,219.91/10,387.80
  6. Step 6: Final answer
    x = 7,828.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.