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Finding the Fourth Proportional to 8,559.60, 12,853.80 and 8,300.40

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Solution

The fourth proportional to 8,559.60, 12,853.80 and 8,300.40 is: 12,464.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,559.60 : 12,853.80 = 8,300.40 : x
  2. Step 2: Convert to fraction form
    8,559.60/12,853.80 = 8,300.40/x
  3. Step 3: Cross multiply
    8,559.60x = 12,853.80 × 8,300.40
  4. Step 4: Simplify right side
    8,559.60x = 106,691,681.52
  5. Step 5: Solve for x
    x = 106,691,681.52/8,559.60
  6. Step 6: Final answer
    x = 12,464.56

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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.