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Finding the Fourth Proportional to 10,283.25, 15,423.15 and 3,357.75

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Solution

The fourth proportional to 10,283.25, 15,423.15 and 3,357.75 is: 5,036.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,283.25 : 15,423.15 = 3,357.75 : x
  2. Step 2: Convert to fraction form
    10,283.25/15,423.15 = 3,357.75/x
  3. Step 3: Cross multiply
    10,283.25x = 15,423.15 × 3,357.75
  4. Step 4: Simplify right side
    10,283.25x = 51,787,081.91
  5. Step 5: Solve for x
    x = 51,787,081.91/10,283.25
  6. Step 6: Final answer
    x = 5,036.06

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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.