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Finding the Fourth Proportional to 8,278.48, 11,423.76 and 4,921.12

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Solution

The fourth proportional to 8,278.48, 11,423.76 and 4,921.12 is: 6,790.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,278.48 : 11,423.76 = 4,921.12 : x
  2. Step 2: Convert to fraction form
    8,278.48/11,423.76 = 4,921.12/x
  3. Step 3: Cross multiply
    8,278.48x = 11,423.76 × 4,921.12
  4. Step 4: Simplify right side
    8,278.48x = 56,217,693.81
  5. Step 5: Solve for x
    x = 56,217,693.81/8,278.48
  6. Step 6: Final answer
    x = 6,790.82

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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.