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Finding the Fourth Proportional to 10,182.75, 14,050.76 and 5,706.15

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Solution

The fourth proportional to 10,182.75, 14,050.76 and 5,706.15 is: 7,873.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,182.75 : 14,050.76 = 5,706.15 : x
  2. Step 2: Convert to fraction form
    10,182.75/14,050.76 = 5,706.15/x
  3. Step 3: Cross multiply
    10,182.75x = 14,050.76 × 5,706.15
  4. Step 4: Simplify right side
    10,182.75x = 80,175,744.17
  5. Step 5: Solve for x
    x = 80,175,744.17/10,182.75
  6. Step 6: Final answer
    x = 7,873.68

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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.