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Finding the Fourth Proportional to 10,490.40, 15,730.20 and 3,913.20

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Solution

The fourth proportional to 10,490.40, 15,730.20 and 3,913.20 is: 5,867.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,490.40 : 15,730.20 = 3,913.20 : x
  2. Step 2: Convert to fraction form
    10,490.40/15,730.20 = 3,913.20/x
  3. Step 3: Cross multiply
    10,490.40x = 15,730.20 × 3,913.20
  4. Step 4: Simplify right side
    10,490.40x = 61,555,418.64
  5. Step 5: Solve for x
    x = 61,555,418.64/10,490.40
  6. Step 6: Final answer
    x = 5,867.79

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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.