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Finding the Fourth Proportional to 8,926.40, 13,385 and 5,229.76

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Solution

The fourth proportional to 8,926.40, 13,385 and 5,229.76 is: 7,841.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,926.40 : 13,385 = 5,229.76 : x
  2. Step 2: Convert to fraction form
    8,926.40/13,385 = 5,229.76/x
  3. Step 3: Cross multiply
    8,926.40x = 13,385 × 5,229.76
  4. Step 4: Simplify right side
    8,926.40x = 70,000,337.60
  5. Step 5: Solve for x
    x = 70,000,337.60/8,926.40
  6. Step 6: Final answer
    x = 7,841.94

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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.