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Finding the Fourth Proportional to 8,510.45, 12,756.89 and 6,164.55

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Solution

The fourth proportional to 8,510.45, 12,756.89 and 6,164.55 is: 9,240.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,510.45 : 12,756.89 = 6,164.55 : x
  2. Step 2: Convert to fraction form
    8,510.45/12,756.89 = 6,164.55/x
  3. Step 3: Cross multiply
    8,510.45x = 12,756.89 × 6,164.55
  4. Step 4: Simplify right side
    8,510.45x = 78,640,486.25
  5. Step 5: Solve for x
    x = 78,640,486.25/8,510.45
  6. Step 6: Final answer
    x = 9,240.47

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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.