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Finding the Fourth Proportional to 8,528.40, 12,769.56 and 4,415.76

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Solution

The fourth proportional to 8,528.40, 12,769.56 and 4,415.76 is: 6,611.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,528.40 : 12,769.56 = 4,415.76 : x
  2. Step 2: Convert to fraction form
    8,528.40/12,769.56 = 4,415.76/x
  3. Step 3: Cross multiply
    8,528.40x = 12,769.56 × 4,415.76
  4. Step 4: Simplify right side
    8,528.40x = 56,387,312.27
  5. Step 5: Solve for x
    x = 56,387,312.27/8,528.40
  6. Step 6: Final answer
    x = 6,611.71

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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.