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Finding the Fourth Proportional to 10,408, 15,612.02 and 4,252

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Solution

The fourth proportional to 10,408, 15,612.02 and 4,252 is: 6,378.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,408 : 15,612.02 = 4,252 : x
  2. Step 2: Convert to fraction form
    10,408/15,612.02 = 4,252/x
  3. Step 3: Cross multiply
    10,408x = 15,612.02 × 4,252
  4. Step 4: Simplify right side
    10,408x = 66,382,309.04
  5. Step 5: Solve for x
    x = 66,382,309.04/10,408
  6. Step 6: Final answer
    x = 6,378.01

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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.