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Finding the Fourth Proportional to 10,474.65, 15,707.01 and 3,806.49

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Solution

The fourth proportional to 10,474.65, 15,707.01 and 3,806.49 is: 5,707.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,474.65 : 15,707.01 = 3,806.49 : x
  2. Step 2: Convert to fraction form
    10,474.65/15,707.01 = 3,806.49/x
  3. Step 3: Cross multiply
    10,474.65x = 15,707.01 × 3,806.49
  4. Step 4: Simplify right side
    10,474.65x = 59,788,649.67
  5. Step 5: Solve for x
    x = 59,788,649.67/10,474.65
  6. Step 6: Final answer
    x = 5,707.94

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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.