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Finding the Fourth Proportional to 8,271.90, 11,381.40 and 7,149.24

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Solution

The fourth proportional to 8,271.90, 11,381.40 and 7,149.24 is: 9,836.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,271.90 : 11,381.40 = 7,149.24 : x
  2. Step 2: Convert to fraction form
    8,271.90/11,381.40 = 7,149.24/x
  3. Step 3: Cross multiply
    8,271.90x = 11,381.40 × 7,149.24
  4. Step 4: Simplify right side
    8,271.90x = 81,368,360.14
  5. Step 5: Solve for x
    x = 81,368,360.14/8,271.90
  6. Step 6: Final answer
    x = 9,836.72

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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.