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Finding the Fourth Proportional to 10,289.71, 15,434.52 and 3,364.21

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Solution

The fourth proportional to 10,289.71, 15,434.52 and 3,364.21 is: 5,046.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,289.71 : 15,434.52 = 3,364.21 : x
  2. Step 2: Convert to fraction form
    10,289.71/15,434.52 = 3,364.21/x
  3. Step 3: Cross multiply
    10,289.71x = 15,434.52 × 3,364.21
  4. Step 4: Simplify right side
    10,289.71x = 51,924,966.53
  5. Step 5: Solve for x
    x = 51,924,966.53/10,289.71
  6. Step 6: Final answer
    x = 5,046.30

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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.