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Finding the Fourth Proportional to 10,496.69, 15,743.67 and 3,101.93

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Solution

The fourth proportional to 10,496.69, 15,743.67 and 3,101.93 is: 4,652.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,496.69 : 15,743.67 = 3,101.93 : x
  2. Step 2: Convert to fraction form
    10,496.69/15,743.67 = 3,101.93/x
  3. Step 3: Cross multiply
    10,496.69x = 15,743.67 × 3,101.93
  4. Step 4: Simplify right side
    10,496.69x = 48,835,683.56
  5. Step 5: Solve for x
    x = 48,835,683.56/10,496.69
  6. Step 6: Final answer
    x = 4,652.49

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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.