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Finding the Fourth Proportional to 10,427.58, 15,642.65 and 3,408.30

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Solution

The fourth proportional to 10,427.58, 15,642.65 and 3,408.30 is: 5,112.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,427.58 : 15,642.65 = 3,408.30 : x
  2. Step 2: Convert to fraction form
    10,427.58/15,642.65 = 3,408.30/x
  3. Step 3: Cross multiply
    10,427.58x = 15,642.65 × 3,408.30
  4. Step 4: Simplify right side
    10,427.58x = 53,314,852.52
  5. Step 5: Solve for x
    x = 53,314,852.52/10,427.58
  6. Step 6: Final answer
    x = 5,112.87

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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.