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Finding the Fourth Proportional to 10,537.65, 14,542.92 and 5,822.87

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Solution

The fourth proportional to 10,537.65, 14,542.92 and 5,822.87 is: 8,036.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,537.65 : 14,542.92 = 5,822.87 : x
  2. Step 2: Convert to fraction form
    10,537.65/14,542.92 = 5,822.87/x
  3. Step 3: Cross multiply
    10,537.65x = 14,542.92 × 5,822.87
  4. Step 4: Simplify right side
    10,537.65x = 84,681,459.87
  5. Step 5: Solve for x
    x = 84,681,459.87/10,537.65
  6. Step 6: Final answer
    x = 8,036.09

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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.