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Finding the Fourth Proportional to 7,878.14, 10,871.81 and 4,341.35

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Solution

The fourth proportional to 7,878.14, 10,871.81 and 4,341.35 is: 5,991.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878.14 : 10,871.81 = 4,341.35 : x
  2. Step 2: Convert to fraction form
    7,878.14/10,871.81 = 4,341.35/x
  3. Step 3: Cross multiply
    7,878.14x = 10,871.81 × 4,341.35
  4. Step 4: Simplify right side
    7,878.14x = 47,198,277.98
  5. Step 5: Solve for x
    x = 47,198,277.98/7,878.14
  6. Step 6: Final answer
    x = 5,991.05

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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.