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Finding the Fourth Proportional to 10,042.74, 13,868.42 and 6,463.94

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Solution

The fourth proportional to 10,042.74, 13,868.42 and 6,463.94 is: 8,926.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,042.74 : 13,868.42 = 6,463.94 : x
  2. Step 2: Convert to fraction form
    10,042.74/13,868.42 = 6,463.94/x
  3. Step 3: Cross multiply
    10,042.74x = 13,868.42 × 6,463.94
  4. Step 4: Simplify right side
    10,042.74x = 89,644,533.11
  5. Step 5: Solve for x
    x = 89,644,533.11/10,042.74
  6. Step 6: Final answer
    x = 8,926.30

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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.