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Finding the Fourth Proportional to 10,248, 15,372 and 4,096.32

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Solution

The fourth proportional to 10,248, 15,372 and 4,096.32 is: 6,144.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,248 : 15,372 = 4,096.32 : x
  2. Step 2: Convert to fraction form
    10,248/15,372 = 4,096.32/x
  3. Step 3: Cross multiply
    10,248x = 15,372 × 4,096.32
  4. Step 4: Simplify right side
    10,248x = 62,968,631.04
  5. Step 5: Solve for x
    x = 62,968,631.04/10,248
  6. Step 6: Final answer
    x = 6,144.48

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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.