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Finding the Fourth Proportional to 10,999.40, 15,175.42 and 6,282.50

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Solution

The fourth proportional to 10,999.40, 15,175.42 and 6,282.50 is: 8,667.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,999.40 : 15,175.42 = 6,282.50 : x
  2. Step 2: Convert to fraction form
    10,999.40/15,175.42 = 6,282.50/x
  3. Step 3: Cross multiply
    10,999.40x = 15,175.42 × 6,282.50
  4. Step 4: Simplify right side
    10,999.40x = 95,339,484.57
  5. Step 5: Solve for x
    x = 95,339,484.57/10,999.40
  6. Step 6: Final answer
    x = 8,667.70

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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.