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Finding the Fourth Proportional to 10,542.47, 14,549.51 and 5,827.65

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Solution

The fourth proportional to 10,542.47, 14,549.51 and 5,827.65 is: 8,042.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,542.47 : 14,549.51 = 5,827.65 : x
  2. Step 2: Convert to fraction form
    10,542.47/14,549.51 = 5,827.65/x
  3. Step 3: Cross multiply
    10,542.47x = 14,549.51 × 5,827.65
  4. Step 4: Simplify right side
    10,542.47x = 84,789,422.81
  5. Step 5: Solve for x
    x = 84,789,422.81/10,542.47
  6. Step 6: Final answer
    x = 8,042.66

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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.