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Finding the Fourth Proportional to 10,391.53, 14,340.09 and 5,675.83

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Solution

The fourth proportional to 10,391.53, 14,340.09 and 5,675.83 is: 7,832.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,391.53 : 14,340.09 = 5,675.83 : x
  2. Step 2: Convert to fraction form
    10,391.53/14,340.09 = 5,675.83/x
  3. Step 3: Cross multiply
    10,391.53x = 14,340.09 × 5,675.83
  4. Step 4: Simplify right side
    10,391.53x = 81,391,913.02
  5. Step 5: Solve for x
    x = 81,391,913.02/10,391.53
  6. Step 6: Final answer
    x = 7,832.52

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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.