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Finding the Fourth Proportional to 8,278.74, 11,424.71 and 4,501.94

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Solution

The fourth proportional to 8,278.74, 11,424.71 and 4,501.94 is: 6,212.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,278.74 : 11,424.71 = 4,501.94 : x
  2. Step 2: Convert to fraction form
    8,278.74/11,424.71 = 4,501.94/x
  3. Step 3: Cross multiply
    8,278.74x = 11,424.71 × 4,501.94
  4. Step 4: Simplify right side
    8,278.74x = 51,433,279.30
  5. Step 5: Solve for x
    x = 51,433,279.30/8,278.74
  6. Step 6: Final answer
    x = 6,212.69

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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.