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Finding the Fourth Proportional to 8,261.60, 12,406.80 and 8,002.40

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Solution

The fourth proportional to 8,261.60, 12,406.80 and 8,002.40 is: 12,017.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,261.60 : 12,406.80 = 8,002.40 : x
  2. Step 2: Convert to fraction form
    8,261.60/12,406.80 = 8,002.40/x
  3. Step 3: Cross multiply
    8,261.60x = 12,406.80 × 8,002.40
  4. Step 4: Simplify right side
    8,261.60x = 99,284,176.32
  5. Step 5: Solve for x
    x = 99,284,176.32/8,261.60
  6. Step 6: Final answer
    x = 12,017.55

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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.