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Finding the Fourth Proportional to 7,956.16, 10,977.51 and 4,418.48

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Solution

The fourth proportional to 7,956.16, 10,977.51 and 4,418.48 is: 6,096.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,956.16 : 10,977.51 = 4,418.48 : x
  2. Step 2: Convert to fraction form
    7,956.16/10,977.51 = 4,418.48/x
  3. Step 3: Cross multiply
    7,956.16x = 10,977.51 × 4,418.48
  4. Step 4: Simplify right side
    7,956.16x = 48,503,908.38
  5. Step 5: Solve for x
    x = 48,503,908.38/7,956.16
  6. Step 6: Final answer
    x = 6,096.40

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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.