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Finding the Fourth Proportional to 11,648.33, 16,059.90 and 7,868.91

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Solution

The fourth proportional to 11,648.33, 16,059.90 and 7,868.91 is: 10,849.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,648.33 : 16,059.90 = 7,868.91 : x
  2. Step 2: Convert to fraction form
    11,648.33/16,059.90 = 7,868.91/x
  3. Step 3: Cross multiply
    11,648.33x = 16,059.90 × 7,868.91
  4. Step 4: Simplify right side
    11,648.33x = 126,373,907.71
  5. Step 5: Solve for x
    x = 126,373,907.71/11,648.33
  6. Step 6: Final answer
    x = 10,849.11

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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.