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Finding the Fourth Proportional to 11,498.65, 15,868.34 and 6,324.75

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Solution

The fourth proportional to 11,498.65, 15,868.34 and 6,324.75 is: 8,728.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,498.65 : 15,868.34 = 6,324.75 : x
  2. Step 2: Convert to fraction form
    11,498.65/15,868.34 = 6,324.75/x
  3. Step 3: Cross multiply
    11,498.65x = 15,868.34 × 6,324.75
  4. Step 4: Simplify right side
    11,498.65x = 100,363,283.42
  5. Step 5: Solve for x
    x = 100,363,283.42/11,498.65
  6. Step 6: Final answer
    x = 8,728.27

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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.