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Finding the Fourth Proportional to 11,458, 17,184.36 and 6,462.56

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Solution

The fourth proportional to 11,458, 17,184.36 and 6,462.56 is: 9,692.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,458 : 17,184.36 = 6,462.56 : x
  2. Step 2: Convert to fraction form
    11,458/17,184.36 = 6,462.56/x
  3. Step 3: Cross multiply
    11,458x = 17,184.36 × 6,462.56
  4. Step 4: Simplify right side
    11,458x = 111,054,957.56
  5. Step 5: Solve for x
    x = 111,054,957.56/11,458
  6. Step 6: Final answer
    x = 9,692.35

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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.