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Finding the Fourth Proportional to 10,347.68, 15,516.64 and 3,769.28

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Solution

The fourth proportional to 10,347.68, 15,516.64 and 3,769.28 is: 5,652.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,347.68 : 15,516.64 = 3,769.28 : x
  2. Step 2: Convert to fraction form
    10,347.68/15,516.64 = 3,769.28/x
  3. Step 3: Cross multiply
    10,347.68x = 15,516.64 × 3,769.28
  4. Step 4: Simplify right side
    10,347.68x = 58,486,560.82
  5. Step 5: Solve for x
    x = 58,486,560.82/10,347.68
  6. Step 6: Final answer
    x = 5,652.14

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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.