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Finding the Fourth Proportional to 7,878.80, 10,879.08 and 5,366.18

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Solution

The fourth proportional to 7,878.80, 10,879.08 and 5,366.18 is: 7,409.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878.80 : 10,879.08 = 5,366.18 : x
  2. Step 2: Convert to fraction form
    7,878.80/10,879.08 = 5,366.18/x
  3. Step 3: Cross multiply
    7,878.80x = 10,879.08 × 5,366.18
  4. Step 4: Simplify right side
    7,878.80x = 58,379,101.51
  5. Step 5: Solve for x
    x = 58,379,101.51/7,878.80
  6. Step 6: Final answer
    x = 7,409.64

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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.