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Finding the Fourth Proportional to 10,542.47, 14,549.36 and 5,826.65

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Solution

The fourth proportional to 10,542.47, 14,549.36 and 5,826.65 is: 8,041.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,542.47 : 14,549.36 = 5,826.65 : x
  2. Step 2: Convert to fraction form
    10,542.47/14,549.36 = 5,826.65/x
  3. Step 3: Cross multiply
    10,542.47x = 14,549.36 × 5,826.65
  4. Step 4: Simplify right side
    10,542.47x = 84,773,926.56
  5. Step 5: Solve for x
    x = 84,773,926.56/10,542.47
  6. Step 6: Final answer
    x = 8,041.19

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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.