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Finding the Fourth Proportional to 8,214.31, 11,335.74 and 4,437.47

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Solution

The fourth proportional to 8,214.31, 11,335.74 and 4,437.47 is: 6,123.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,214.31 : 11,335.74 = 4,437.47 : x
  2. Step 2: Convert to fraction form
    8,214.31/11,335.74 = 4,437.47/x
  3. Step 3: Cross multiply
    8,214.31x = 11,335.74 × 4,437.47
  4. Step 4: Simplify right side
    8,214.31x = 50,302,006.18
  5. Step 5: Solve for x
    x = 50,302,006.18/8,214.31
  6. Step 6: Final answer
    x = 6,123.71

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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.