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Finding the Fourth Proportional to 10,252.77, 15,379.71 and 5,874.45

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Solution

The fourth proportional to 10,252.77, 15,379.71 and 5,874.45 is: 8,811.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,252.77 : 15,379.71 = 5,874.45 : x
  2. Step 2: Convert to fraction form
    10,252.77/15,379.71 = 5,874.45/x
  3. Step 3: Cross multiply
    10,252.77x = 15,379.71 × 5,874.45
  4. Step 4: Simplify right side
    10,252.77x = 90,347,337.41
  5. Step 5: Solve for x
    x = 90,347,337.41/10,252.77
  6. Step 6: Final answer
    x = 8,811.99

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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.