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Finding the Fourth Proportional to 10,478.30, 15,704.04 and 4,919.36

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Solution

The fourth proportional to 10,478.30, 15,704.04 and 4,919.36 is: 7,372.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,478.30 : 15,704.04 = 4,919.36 : x
  2. Step 2: Convert to fraction form
    10,478.30/15,704.04 = 4,919.36/x
  3. Step 3: Cross multiply
    10,478.30x = 15,704.04 × 4,919.36
  4. Step 4: Simplify right side
    10,478.30x = 77,253,826.21
  5. Step 5: Solve for x
    x = 77,253,826.21/10,478.30
  6. Step 6: Final answer
    x = 7,372.74

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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.