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Finding the Fourth Proportional to 8,523.53, 12,763.86 and 5,394.08

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Solution

The fourth proportional to 8,523.53, 12,763.86 and 5,394.08 is: 8,077.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,523.53 : 12,763.86 = 5,394.08 : x
  2. Step 2: Convert to fraction form
    8,523.53/12,763.86 = 5,394.08/x
  3. Step 3: Cross multiply
    8,523.53x = 12,763.86 × 5,394.08
  4. Step 4: Simplify right side
    8,523.53x = 68,849,281.95
  5. Step 5: Solve for x
    x = 68,849,281.95/8,523.53
  6. Step 6: Final answer
    x = 8,077.55

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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.