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Finding the Fourth Proportional to 10,290.61, 15,438.06 and 5,850.31

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Solution

The fourth proportional to 10,290.61, 15,438.06 and 5,850.31 is: 8,776.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,290.61 : 15,438.06 = 5,850.31 : x
  2. Step 2: Convert to fraction form
    10,290.61/15,438.06 = 5,850.31/x
  3. Step 3: Cross multiply
    10,290.61x = 15,438.06 × 5,850.31
  4. Step 4: Simplify right side
    10,290.61x = 90,317,436.80
  5. Step 5: Solve for x
    x = 90,317,436.80/10,290.61
  6. Step 6: Final answer
    x = 8,776.68

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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.