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Finding the Fourth Proportional to 10,842.98, 16,260.39 and 4,265.57

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Solution

The fourth proportional to 10,842.98, 16,260.39 and 4,265.57 is: 6,396.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,842.98 : 16,260.39 = 4,265.57 : x
  2. Step 2: Convert to fraction form
    10,842.98/16,260.39 = 4,265.57/x
  3. Step 3: Cross multiply
    10,842.98x = 16,260.39 × 4,265.57
  4. Step 4: Simplify right side
    10,842.98x = 69,359,831.77
  5. Step 5: Solve for x
    x = 69,359,831.77/10,842.98
  6. Step 6: Final answer
    x = 6,396.75

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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.