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Finding the Fourth Proportional to 7,882.80, 10,878.28 and 4,345.93

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Solution

The fourth proportional to 7,882.80, 10,878.28 and 4,345.93 is: 5,997.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882.80 : 10,878.28 = 4,345.93 : x
  2. Step 2: Convert to fraction form
    7,882.80/10,878.28 = 4,345.93/x
  3. Step 3: Cross multiply
    7,882.80x = 10,878.28 × 4,345.93
  4. Step 4: Simplify right side
    7,882.80x = 47,276,243.40
  5. Step 5: Solve for x
    x = 47,276,243.40/7,882.80
  6. Step 6: Final answer
    x = 5,997.39

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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.