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Finding the Fourth Proportional to 10,478.57, 15,707.95 and 3,900.29

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Solution

The fourth proportional to 10,478.57, 15,707.95 and 3,900.29 is: 5,846.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,478.57 : 15,707.95 = 3,900.29 : x
  2. Step 2: Convert to fraction form
    10,478.57/15,707.95 = 3,900.29/x
  3. Step 3: Cross multiply
    10,478.57x = 15,707.95 × 3,900.29
  4. Step 4: Simplify right side
    10,478.57x = 61,265,560.31
  5. Step 5: Solve for x
    x = 61,265,560.31/10,478.57
  6. Step 6: Final answer
    x = 5,846.75

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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.