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Finding the Fourth Proportional to 7,883.17, 10,878.65 and 4,346.71

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Solution

The fourth proportional to 7,883.17, 10,878.65 and 4,346.71 is: 5,998.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,883.17 : 10,878.65 = 4,346.71 : x
  2. Step 2: Convert to fraction form
    7,883.17/10,878.65 = 4,346.71/x
  3. Step 3: Cross multiply
    7,883.17x = 10,878.65 × 4,346.71
  4. Step 4: Simplify right side
    7,883.17x = 47,286,315.01
  5. Step 5: Solve for x
    x = 47,286,315.01/7,883.17
  6. Step 6: Final answer
    x = 5,998.39

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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.