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Finding the Fourth Proportional to 10,525.70, 15,774.83 and 4,278.41

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Solution

The fourth proportional to 10,525.70, 15,774.83 and 4,278.41 is: 6,412.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,525.70 : 15,774.83 = 4,278.41 : x
  2. Step 2: Convert to fraction form
    10,525.70/15,774.83 = 4,278.41/x
  3. Step 3: Cross multiply
    10,525.70x = 15,774.83 × 4,278.41
  4. Step 4: Simplify right side
    10,525.70x = 67,491,233.79
  5. Step 5: Solve for x
    x = 67,491,233.79/10,525.70
  6. Step 6: Final answer
    x = 6,412.04

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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.