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Finding the Fourth Proportional to 7,718.52, 11,575.34 and 2,787.50

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Solution

The fourth proportional to 7,718.52, 11,575.34 and 2,787.50 is: 4,180.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,718.52 : 11,575.34 = 2,787.50 : x
  2. Step 2: Convert to fraction form
    7,718.52/11,575.34 = 2,787.50/x
  3. Step 3: Cross multiply
    7,718.52x = 11,575.34 × 2,787.50
  4. Step 4: Simplify right side
    7,718.52x = 32,266,260.25
  5. Step 5: Solve for x
    x = 32,266,260.25/7,718.52
  6. Step 6: Final answer
    x = 4,180.37

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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.