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Finding the Fourth Proportional to 6,910.94, 10,368.04 and 5,878.02

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Solution

The fourth proportional to 6,910.94, 10,368.04 and 5,878.02 is: 8,818.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,910.94 : 10,368.04 = 5,878.02 : x
  2. Step 2: Convert to fraction form
    6,910.94/10,368.04 = 5,878.02/x
  3. Step 3: Cross multiply
    6,910.94x = 10,368.04 × 5,878.02
  4. Step 4: Simplify right side
    6,910.94x = 60,943,546.48
  5. Step 5: Solve for x
    x = 60,943,546.48/6,910.94
  6. Step 6: Final answer
    x = 8,818.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.