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Finding the Fourth Proportional to 10,283.20, 15,424.80 and 3,358.40

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Solution

The fourth proportional to 10,283.20, 15,424.80 and 3,358.40 is: 5,037.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,283.20 : 15,424.80 = 3,358.40 : x
  2. Step 2: Convert to fraction form
    10,283.20/15,424.80 = 3,358.40/x
  3. Step 3: Cross multiply
    10,283.20x = 15,424.80 × 3,358.40
  4. Step 4: Simplify right side
    10,283.20x = 51,802,648.32
  5. Step 5: Solve for x
    x = 51,802,648.32/10,283.20
  6. Step 6: Final answer
    x = 5,037.60

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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.