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Finding the Fourth Proportional to 10,246.47, 15,368.18 and 2,850.17

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Solution

The fourth proportional to 10,246.47, 15,368.18 and 2,850.17 is: 4,274.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,246.47 : 15,368.18 = 2,850.17 : x
  2. Step 2: Convert to fraction form
    10,246.47/15,368.18 = 2,850.17/x
  3. Step 3: Cross multiply
    10,246.47x = 15,368.18 × 2,850.17
  4. Step 4: Simplify right side
    10,246.47x = 43,801,834.50
  5. Step 5: Solve for x
    x = 43,801,834.50/10,246.47
  6. Step 6: Final answer
    x = 4,274.82

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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.