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Finding the Fourth Proportional to 7,881.70, 10,876.78 and 4,345.16

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Solution

The fourth proportional to 7,881.70, 10,876.78 and 4,345.16 is: 5,996.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,881.70 : 10,876.78 = 4,345.16 : x
  2. Step 2: Convert to fraction form
    7,881.70/10,876.78 = 4,345.16/x
  3. Step 3: Cross multiply
    7,881.70x = 10,876.78 × 4,345.16
  4. Step 4: Simplify right side
    7,881.70x = 47,261,349.38
  5. Step 5: Solve for x
    x = 47,261,349.38/7,881.70
  6. Step 6: Final answer
    x = 5,996.34

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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.