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Finding the Fourth Proportional to 10,658.17, 15,986.04 and 2,866.38

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Solution

The fourth proportional to 10,658.17, 15,986.04 and 2,866.38 is: 4,299.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,658.17 : 15,986.04 = 2,866.38 : x
  2. Step 2: Convert to fraction form
    10,658.17/15,986.04 = 2,866.38/x
  3. Step 3: Cross multiply
    10,658.17x = 15,986.04 × 2,866.38
  4. Step 4: Simplify right side
    10,658.17x = 45,822,065.34
  5. Step 5: Solve for x
    x = 45,822,065.34/10,658.17
  6. Step 6: Final answer
    x = 4,299.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.