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Finding the Fourth Proportional to 10,508.96, 14,504.28 and 8,278.40

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Solution

The fourth proportional to 10,508.96, 14,504.28 and 8,278.40 is: 11,425.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,508.96 : 14,504.28 = 8,278.40 : x
  2. Step 2: Convert to fraction form
    10,508.96/14,504.28 = 8,278.40/x
  3. Step 3: Cross multiply
    10,508.96x = 14,504.28 × 8,278.40
  4. Step 4: Simplify right side
    10,508.96x = 120,072,231.55
  5. Step 5: Solve for x
    x = 120,072,231.55/10,508.96
  6. Step 6: Final answer
    x = 11,425.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.