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Finding the Fourth Proportional to 7,881.86, 10,876.38 and 4,345.07

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Solution

The fourth proportional to 7,881.86, 10,876.38 and 4,345.07 is: 5,995.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,881.86 : 10,876.38 = 4,345.07 : x
  2. Step 2: Convert to fraction form
    7,881.86/10,876.38 = 4,345.07/x
  3. Step 3: Cross multiply
    7,881.86x = 10,876.38 × 4,345.07
  4. Step 4: Simplify right side
    7,881.86x = 47,258,578.06
  5. Step 5: Solve for x
    x = 47,258,578.06/7,881.86
  6. Step 6: Final answer
    x = 5,995.87

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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.