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Finding the Fourth Proportional to 10,062, 15,093 and 4,141.68

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Solution

The fourth proportional to 10,062, 15,093 and 4,141.68 is: 6,212.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,062 : 15,093 = 4,141.68 : x
  2. Step 2: Convert to fraction form
    10,062/15,093 = 4,141.68/x
  3. Step 3: Cross multiply
    10,062x = 15,093 × 4,141.68
  4. Step 4: Simplify right side
    10,062x = 62,510,376.24
  5. Step 5: Solve for x
    x = 62,510,376.24/10,062
  6. Step 6: Final answer
    x = 6,212.52

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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.