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Finding the Fourth Proportional to 11,662.42, 17,465.78 and 6,389.52

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Solution

The fourth proportional to 11,662.42, 17,465.78 and 6,389.52 is: 9,569.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,662.42 : 17,465.78 = 6,389.52 : x
  2. Step 2: Convert to fraction form
    11,662.42/17,465.78 = 6,389.52/x
  3. Step 3: Cross multiply
    11,662.42x = 17,465.78 × 6,389.52
  4. Step 4: Simplify right side
    11,662.42x = 111,597,950.63
  5. Step 5: Solve for x
    x = 111,597,950.63/11,662.42
  6. Step 6: Final answer
    x = 9,569.02

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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.