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Finding the Fourth Proportional to 10,524.57, 14,529.85 and 8,393.25

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Solution

The fourth proportional to 10,524.57, 14,529.85 and 8,393.25 is: 11,587.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,524.57 : 14,529.85 = 8,393.25 : x
  2. Step 2: Convert to fraction form
    10,524.57/14,529.85 = 8,393.25/x
  3. Step 3: Cross multiply
    10,524.57x = 14,529.85 × 8,393.25
  4. Step 4: Simplify right side
    10,524.57x = 121,952,697.02
  5. Step 5: Solve for x
    x = 121,952,697.02/10,524.57
  6. Step 6: Final answer
    x = 11,587.43

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