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Finding the Fourth Proportional to 10,537.63, 14,542.82 and 5,822.76

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Solution

The fourth proportional to 10,537.63, 14,542.82 and 5,822.76 is: 8,035.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,537.63 : 14,542.82 = 5,822.76 : x
  2. Step 2: Convert to fraction form
    10,537.63/14,542.82 = 5,822.76/x
  3. Step 3: Cross multiply
    10,537.63x = 14,542.82 × 5,822.76
  4. Step 4: Simplify right side
    10,537.63x = 84,679,350.58
  5. Step 5: Solve for x
    x = 84,679,350.58/10,537.63
  6. Step 6: Final answer
    x = 8,035.90

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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.