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Finding the Fourth Proportional to 7,876.51, 11,868.77 and 6,520.28

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Solution

The fourth proportional to 7,876.51, 11,868.77 and 6,520.28 is: 9,825.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,876.51 : 11,868.77 = 6,520.28 : x
  2. Step 2: Convert to fraction form
    7,876.51/11,868.77 = 6,520.28/x
  3. Step 3: Cross multiply
    7,876.51x = 11,868.77 × 6,520.28
  4. Step 4: Simplify right side
    7,876.51x = 77,387,660.61
  5. Step 5: Solve for x
    x = 77,387,660.61/7,876.51
  6. Step 6: Final answer
    x = 9,825.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.