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Finding the Fourth Proportional to 10,291.89, 15,438.15 and 3,271.98

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Solution

The fourth proportional to 10,291.89, 15,438.15 and 3,271.98 is: 4,908.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,291.89 : 15,438.15 = 3,271.98 : x
  2. Step 2: Convert to fraction form
    10,291.89/15,438.15 = 3,271.98/x
  3. Step 3: Cross multiply
    10,291.89x = 15,438.15 × 3,271.98
  4. Step 4: Simplify right side
    10,291.89x = 50,513,318.04
  5. Step 5: Solve for x
    x = 50,513,318.04/10,291.89
  6. Step 6: Final answer
    x = 4,908.07

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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.