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Finding the Fourth Proportional to 6,587.34, 9,084.48 and 5,151.84

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Solution

The fourth proportional to 6,587.34, 9,084.48 and 5,151.84 is: 7,104.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,587.34 : 9,084.48 = 5,151.84 : x
  2. Step 2: Convert to fraction form
    6,587.34/9,084.48 = 5,151.84/x
  3. Step 3: Cross multiply
    6,587.34x = 9,084.48 × 5,151.84
  4. Step 4: Simplify right side
    6,587.34x = 46,801,787.44
  5. Step 5: Solve for x
    x = 46,801,787.44/6,587.34
  6. Step 6: Final answer
    x = 7,104.81

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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.