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Finding the Fourth Proportional to 10,487.39, 15,733.81 and 3,913.63

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Solution

The fourth proportional to 10,487.39, 15,733.81 and 3,913.63 is: 5,871.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,487.39 : 15,733.81 = 3,913.63 : x
  2. Step 2: Convert to fraction form
    10,487.39/15,733.81 = 3,913.63/x
  3. Step 3: Cross multiply
    10,487.39x = 15,733.81 × 3,913.63
  4. Step 4: Simplify right side
    10,487.39x = 61,576,310.83
  5. Step 5: Solve for x
    x = 61,576,310.83/10,487.39
  6. Step 6: Final answer
    x = 5,871.46

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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.