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Finding the Fourth Proportional to 8,505.50, 12,756.80 and 2,580.95

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Solution

The fourth proportional to 8,505.50, 12,756.80 and 2,580.95 is: 3,870.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,505.50 : 12,756.80 = 2,580.95 : x
  2. Step 2: Convert to fraction form
    8,505.50/12,756.80 = 2,580.95/x
  3. Step 3: Cross multiply
    8,505.50x = 12,756.80 × 2,580.95
  4. Step 4: Simplify right side
    8,505.50x = 32,924,701.30
  5. Step 5: Solve for x
    x = 32,924,701.30/8,505.50
  6. Step 6: Final answer
    x = 3,870.99

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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.