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Finding the Fourth Proportional to 10,537.81, 15,806.71 and 3,147.46

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Solution

The fourth proportional to 10,537.81, 15,806.71 and 3,147.46 is: 4,721.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,537.81 : 15,806.71 = 3,147.46 : x
  2. Step 2: Convert to fraction form
    10,537.81/15,806.71 = 3,147.46/x
  3. Step 3: Cross multiply
    10,537.81x = 15,806.71 × 3,147.46
  4. Step 4: Simplify right side
    10,537.81x = 49,750,908.42
  5. Step 5: Solve for x
    x = 49,750,908.42/10,537.81
  6. Step 6: Final answer
    x = 4,721.18

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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.