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Finding the Fourth Proportional to 10,252.04, 15,378.60 and 3,326

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Solution

The fourth proportional to 10,252.04, 15,378.60 and 3,326 is: 4,989.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,252.04 : 15,378.60 = 3,326 : x
  2. Step 2: Convert to fraction form
    10,252.04/15,378.60 = 3,326/x
  3. Step 3: Cross multiply
    10,252.04x = 15,378.60 × 3,326
  4. Step 4: Simplify right side
    10,252.04x = 51,149,223.60
  5. Step 5: Solve for x
    x = 51,149,223.60/10,252.04
  6. Step 6: Final answer
    x = 4,989.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.