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Finding the Fourth Proportional to 10,235, 15,356.10 and 5,044.52

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Solution

The fourth proportional to 10,235, 15,356.10 and 5,044.52 is: 7,568.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,235 : 15,356.10 = 5,044.52 : x
  2. Step 2: Convert to fraction form
    10,235/15,356.10 = 5,044.52/x
  3. Step 3: Cross multiply
    10,235x = 15,356.10 × 5,044.52
  4. Step 4: Simplify right side
    10,235x = 77,464,153.57
  5. Step 5: Solve for x
    x = 77,464,153.57/10,235
  6. Step 6: Final answer
    x = 7,568.55

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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.