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Finding the Fourth Proportional to 10,551.92, 14,560.67 and 5,836.10

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Solution

The fourth proportional to 10,551.92, 14,560.67 and 5,836.10 is: 8,053.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,551.92 : 14,560.67 = 5,836.10 : x
  2. Step 2: Convert to fraction form
    10,551.92/14,560.67 = 5,836.10/x
  3. Step 3: Cross multiply
    10,551.92x = 14,560.67 × 5,836.10
  4. Step 4: Simplify right side
    10,551.92x = 84,977,475.20
  5. Step 5: Solve for x
    x = 84,977,475.20/10,551.92
  6. Step 6: Final answer
    x = 8,053.27

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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.