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Finding the Fourth Proportional to 7,882.88, 10,878.24 and 4,346

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Solution

The fourth proportional to 7,882.88, 10,878.24 and 4,346 is: 5,997.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882.88 : 10,878.24 = 4,346 : x
  2. Step 2: Convert to fraction form
    7,882.88/10,878.24 = 4,346/x
  3. Step 3: Cross multiply
    7,882.88x = 10,878.24 × 4,346
  4. Step 4: Simplify right side
    7,882.88x = 47,276,831.04
  5. Step 5: Solve for x
    x = 47,276,831.04/7,882.88
  6. Step 6: Final answer
    x = 5,997.41

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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.