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Finding the Fourth Proportional to 7,848, 10,829.92 and 4,661.76

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Solution

The fourth proportional to 7,848, 10,829.92 and 4,661.76 is: 6,433.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,848 : 10,829.92 = 4,661.76 : x
  2. Step 2: Convert to fraction form
    7,848/10,829.92 = 4,661.76/x
  3. Step 3: Cross multiply
    7,848x = 10,829.92 × 4,661.76
  4. Step 4: Simplify right side
    7,848x = 50,486,487.86
  5. Step 5: Solve for x
    x = 50,486,487.86/7,848
  6. Step 6: Final answer
    x = 6,433.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.