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Finding the Fourth Proportional to 10,297.92, 15,444.80 and 2,902.72

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Solution

The fourth proportional to 10,297.92, 15,444.80 and 2,902.72 is: 4,353.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,297.92 : 15,444.80 = 2,902.72 : x
  2. Step 2: Convert to fraction form
    10,297.92/15,444.80 = 2,902.72/x
  3. Step 3: Cross multiply
    10,297.92x = 15,444.80 × 2,902.72
  4. Step 4: Simplify right side
    10,297.92x = 44,831,929.86
  5. Step 5: Solve for x
    x = 44,831,929.86/10,297.92
  6. Step 6: Final answer
    x = 4,353.49

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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.