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Finding the Fourth Proportional to 10,877.68, 16,324.72 and 5,038.39

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Solution

The fourth proportional to 10,877.68, 16,324.72 and 5,038.39 is: 7,561.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,877.68 : 16,324.72 = 5,038.39 : x
  2. Step 2: Convert to fraction form
    10,877.68/16,324.72 = 5,038.39/x
  3. Step 3: Cross multiply
    10,877.68x = 16,324.72 × 5,038.39
  4. Step 4: Simplify right side
    10,877.68x = 82,250,306.00
  5. Step 5: Solve for x
    x = 82,250,306.00/10,877.68
  6. Step 6: Final answer
    x = 7,561.38

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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.