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Finding the Fourth Proportional to 10,166.44, 15,250.70 and 3,502.07

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Solution

The fourth proportional to 10,166.44, 15,250.70 and 3,502.07 is: 5,253.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,166.44 : 15,250.70 = 3,502.07 : x
  2. Step 2: Convert to fraction form
    10,166.44/15,250.70 = 3,502.07/x
  3. Step 3: Cross multiply
    10,166.44x = 15,250.70 × 3,502.07
  4. Step 4: Simplify right side
    10,166.44x = 53,409,006.65
  5. Step 5: Solve for x
    x = 53,409,006.65/10,166.44
  6. Step 6: Final answer
    x = 5,253.46

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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.