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Finding the Fourth Proportional to 8,504.64, 12,756.96 and 6,559.68

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Solution

The fourth proportional to 8,504.64, 12,756.96 and 6,559.68 is: 9,839.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,504.64 : 12,756.96 = 6,559.68 : x
  2. Step 2: Convert to fraction form
    8,504.64/12,756.96 = 6,559.68/x
  3. Step 3: Cross multiply
    8,504.64x = 12,756.96 × 6,559.68
  4. Step 4: Simplify right side
    8,504.64x = 83,681,575.37
  5. Step 5: Solve for x
    x = 83,681,575.37/8,504.64
  6. Step 6: Final answer
    x = 9,839.52

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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.