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Finding the Fourth Proportional to 10,529.52, 15,796 and 3,956.22

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Solution

The fourth proportional to 10,529.52, 15,796 and 3,956.22 is: 5,934.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,529.52 : 15,796 = 3,956.22 : x
  2. Step 2: Convert to fraction form
    10,529.52/15,796 = 3,956.22/x
  3. Step 3: Cross multiply
    10,529.52x = 15,796 × 3,956.22
  4. Step 4: Simplify right side
    10,529.52x = 62,492,451.12
  5. Step 5: Solve for x
    x = 62,492,451.12/10,529.52
  6. Step 6: Final answer
    x = 5,934.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.