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Finding the Fourth Proportional to 10,940.34, 15,098.01 and 6,224.92

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Solution

The fourth proportional to 10,940.34, 15,098.01 and 6,224.92 is: 8,590.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,940.34 : 15,098.01 = 6,224.92 : x
  2. Step 2: Convert to fraction form
    10,940.34/15,098.01 = 6,224.92/x
  3. Step 3: Cross multiply
    10,940.34x = 15,098.01 × 6,224.92
  4. Step 4: Simplify right side
    10,940.34x = 93,983,904.41
  5. Step 5: Solve for x
    x = 93,983,904.41/10,940.34
  6. Step 6: Final answer
    x = 8,590.58

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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.