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Finding the Fourth Proportional to 8,510.40, 12,765.60 and 6,156

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Solution

The fourth proportional to 8,510.40, 12,765.60 and 6,156 is: 9,234.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,510.40 : 12,765.60 = 6,156 : x
  2. Step 2: Convert to fraction form
    8,510.40/12,765.60 = 6,156/x
  3. Step 3: Cross multiply
    8,510.40x = 12,765.60 × 6,156
  4. Step 4: Simplify right side
    8,510.40x = 78,585,033.60
  5. Step 5: Solve for x
    x = 78,585,033.60/8,510.40
  6. Step 6: Final answer
    x = 9,234.00

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Why These Related Problems?

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