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Finding the Fourth Proportional to 7,877.80, 10,877.70 and 5,365.18

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Solution

The fourth proportional to 7,877.80, 10,877.70 and 5,365.18 is: 7,408.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,877.80 : 10,877.70 = 5,365.18 : x
  2. Step 2: Convert to fraction form
    7,877.80/10,877.70 = 5,365.18/x
  3. Step 3: Cross multiply
    7,877.80x = 10,877.70 × 5,365.18
  4. Step 4: Simplify right side
    7,877.80x = 58,360,818.49
  5. Step 5: Solve for x
    x = 58,360,818.49/7,877.80
  6. Step 6: Final answer
    x = 7,408.26

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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.