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Finding the Fourth Proportional to 7,878.15, 10,868.98 and 4,692.42

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Solution

The fourth proportional to 7,878.15, 10,868.98 and 4,692.42 is: 6,473.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878.15 : 10,868.98 = 4,692.42 : x
  2. Step 2: Convert to fraction form
    7,878.15/10,868.98 = 4,692.42/x
  3. Step 3: Cross multiply
    7,878.15x = 10,868.98 × 4,692.42
  4. Step 4: Simplify right side
    7,878.15x = 51,001,819.13
  5. Step 5: Solve for x
    x = 51,001,819.13/7,878.15
  6. Step 6: Final answer
    x = 6,473.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.