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Finding the Fourth Proportional to 11,615.28, 16,032.78 and 7,423.53

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Solution

The fourth proportional to 11,615.28, 16,032.78 and 7,423.53 is: 10,246.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,615.28 : 16,032.78 = 7,423.53 : x
  2. Step 2: Convert to fraction form
    11,615.28/16,032.78 = 7,423.53/x
  3. Step 3: Cross multiply
    11,615.28x = 16,032.78 × 7,423.53
  4. Step 4: Simplify right side
    11,615.28x = 119,019,823.31
  5. Step 5: Solve for x
    x = 119,019,823.31/11,615.28
  6. Step 6: Final answer
    x = 10,246.83

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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.