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Finding the Fourth Proportional to 10,461.52, 15,692.42 and 3,442.08

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Solution

The fourth proportional to 10,461.52, 15,692.42 and 3,442.08 is: 5,163.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,461.52 : 15,692.42 = 3,442.08 : x
  2. Step 2: Convert to fraction form
    10,461.52/15,692.42 = 3,442.08/x
  3. Step 3: Cross multiply
    10,461.52x = 15,692.42 × 3,442.08
  4. Step 4: Simplify right side
    10,461.52x = 54,014,565.03
  5. Step 5: Solve for x
    x = 54,014,565.03/10,461.52
  6. Step 6: Final answer
    x = 5,163.17

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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.