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Finding the Fourth Proportional to 10,877.02, 16,323.78 and 7,962.82

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Solution

The fourth proportional to 10,877.02, 16,323.78 and 7,962.82 is: 11,950.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,877.02 : 16,323.78 = 7,962.82 : x
  2. Step 2: Convert to fraction form
    10,877.02/16,323.78 = 7,962.82/x
  3. Step 3: Cross multiply
    10,877.02x = 16,323.78 × 7,962.82
  4. Step 4: Simplify right side
    10,877.02x = 129,983,321.86
  5. Step 5: Solve for x
    x = 129,983,321.86/10,877.02
  6. Step 6: Final answer
    x = 11,950.27

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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.