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Finding the Fourth Proportional to 6,524.82, 9,787.23 and 4,585.68

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Solution

The fourth proportional to 6,524.82, 9,787.23 and 4,585.68 is: 6,878.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,524.82 : 9,787.23 = 4,585.68 : x
  2. Step 2: Convert to fraction form
    6,524.82/9,787.23 = 4,585.68/x
  3. Step 3: Cross multiply
    6,524.82x = 9,787.23 × 4,585.68
  4. Step 4: Simplify right side
    6,524.82x = 44,881,104.87
  5. Step 5: Solve for x
    x = 44,881,104.87/6,524.82
  6. Step 6: Final answer
    x = 6,878.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.