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Finding the Fourth Proportional to 8,523.25, 11,752.02 and 5,835.77

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Solution

The fourth proportional to 8,523.25, 11,752.02 and 5,835.77 is: 8,046.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,523.25 : 11,752.02 = 5,835.77 : x
  2. Step 2: Convert to fraction form
    8,523.25/11,752.02 = 5,835.77/x
  3. Step 3: Cross multiply
    8,523.25x = 11,752.02 × 5,835.77
  4. Step 4: Simplify right side
    8,523.25x = 68,582,085.76
  5. Step 5: Solve for x
    x = 68,582,085.76/8,523.25
  6. Step 6: Final answer
    x = 8,046.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.