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Finding the Fourth Proportional to 7,437.68, 11,160.82 and 2,823.92

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Solution

The fourth proportional to 7,437.68, 11,160.82 and 2,823.92 is: 4,237.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,437.68 : 11,160.82 = 2,823.92 : x
  2. Step 2: Convert to fraction form
    7,437.68/11,160.82 = 2,823.92/x
  3. Step 3: Cross multiply
    7,437.68x = 11,160.82 × 2,823.92
  4. Step 4: Simplify right side
    7,437.68x = 31,517,262.81
  5. Step 5: Solve for x
    x = 31,517,262.81/7,437.68
  6. Step 6: Final answer
    x = 4,237.51

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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.