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Finding the Fourth Proportional to 8,122.10, 12,152.76 and 5,787.50

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Solution

The fourth proportional to 8,122.10, 12,152.76 and 5,787.50 is: 8,659.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,122.10 : 12,152.76 = 5,787.50 : x
  2. Step 2: Convert to fraction form
    8,122.10/12,152.76 = 5,787.50/x
  3. Step 3: Cross multiply
    8,122.10x = 12,152.76 × 5,787.50
  4. Step 4: Simplify right side
    8,122.10x = 70,334,098.50
  5. Step 5: Solve for x
    x = 70,334,098.50/8,122.10
  6. Step 6: Final answer
    x = 8,659.60

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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.