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Finding the Fourth Proportional to 6,788.80, 9,376.32 and 5,408.56

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Solution

The fourth proportional to 6,788.80, 9,376.32 and 5,408.56 is: 7,470.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,788.80 : 9,376.32 = 5,408.56 : x
  2. Step 2: Convert to fraction form
    6,788.80/9,376.32 = 5,408.56/x
  3. Step 3: Cross multiply
    6,788.80x = 9,376.32 × 5,408.56
  4. Step 4: Simplify right side
    6,788.80x = 50,712,389.30
  5. Step 5: Solve for x
    x = 50,712,389.30/6,788.80
  6. Step 6: Final answer
    x = 7,470.01

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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.