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Finding the Fourth Proportional to 8,259.40, 12,389.10 and 3,871.72

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Solution

The fourth proportional to 8,259.40, 12,389.10 and 3,871.72 is: 5,807.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,259.40 : 12,389.10 = 3,871.72 : x
  2. Step 2: Convert to fraction form
    8,259.40/12,389.10 = 3,871.72/x
  3. Step 3: Cross multiply
    8,259.40x = 12,389.10 × 3,871.72
  4. Step 4: Simplify right side
    8,259.40x = 47,967,126.25
  5. Step 5: Solve for x
    x = 47,967,126.25/8,259.40
  6. Step 6: Final answer
    x = 5,807.58

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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.