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Finding the Fourth Proportional to 10,387.86, 14,335.22 and 5,672.18

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Solution

The fourth proportional to 10,387.86, 14,335.22 and 5,672.18 is: 7,827.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,387.86 : 14,335.22 = 5,672.18 : x
  2. Step 2: Convert to fraction form
    10,387.86/14,335.22 = 5,672.18/x
  3. Step 3: Cross multiply
    10,387.86x = 14,335.22 × 5,672.18
  4. Step 4: Simplify right side
    10,387.86x = 81,311,848.14
  5. Step 5: Solve for x
    x = 81,311,848.14/10,387.86
  6. Step 6: Final answer
    x = 7,827.58

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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.