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Finding the Fourth Proportional to 8,756.80, 13,135.20 and 5,646.40

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Solution

The fourth proportional to 8,756.80, 13,135.20 and 5,646.40 is: 8,469.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,756.80 : 13,135.20 = 5,646.40 : x
  2. Step 2: Convert to fraction form
    8,756.80/13,135.20 = 5,646.40/x
  3. Step 3: Cross multiply
    8,756.80x = 13,135.20 × 5,646.40
  4. Step 4: Simplify right side
    8,756.80x = 74,166,593.28
  5. Step 5: Solve for x
    x = 74,166,593.28/8,756.80
  6. Step 6: Final answer
    x = 8,469.60

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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.