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Finding the Fourth Proportional to 10,522.32, 14,512.62 and 6,789.84

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Solution

The fourth proportional to 10,522.32, 14,512.62 and 6,789.84 is: 9,364.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,522.32 : 14,512.62 = 6,789.84 : x
  2. Step 2: Convert to fraction form
    10,522.32/14,512.62 = 6,789.84/x
  3. Step 3: Cross multiply
    10,522.32x = 14,512.62 × 6,789.84
  4. Step 4: Simplify right side
    10,522.32x = 98,538,367.78
  5. Step 5: Solve for x
    x = 98,538,367.78/10,522.32
  6. Step 6: Final answer
    x = 9,364.70

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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.