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Finding the Fourth Proportional to 7,883.18, 10,878.64 and 4,346.72

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Solution

The fourth proportional to 7,883.18, 10,878.64 and 4,346.72 is: 5,998.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,883.18 : 10,878.64 = 4,346.72 : x
  2. Step 2: Convert to fraction form
    7,883.18/10,878.64 = 4,346.72/x
  3. Step 3: Cross multiply
    7,883.18x = 10,878.64 × 4,346.72
  4. Step 4: Simplify right side
    7,883.18x = 47,286,402.06
  5. Step 5: Solve for x
    x = 47,286,402.06/7,883.18
  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.