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Finding the Fourth Proportional to 10,410.40, 15,614.64 and 3,484.96

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Solution

The fourth proportional to 10,410.40, 15,614.64 and 3,484.96 is: 5,227.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,410.40 : 15,614.64 = 3,484.96 : x
  2. Step 2: Convert to fraction form
    10,410.40/15,614.64 = 3,484.96/x
  3. Step 3: Cross multiply
    10,410.40x = 15,614.64 × 3,484.96
  4. Step 4: Simplify right side
    10,410.40x = 54,416,395.81
  5. Step 5: Solve for x
    x = 54,416,395.81/10,410.40
  6. Step 6: Final answer
    x = 5,227.12

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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.