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Finding the Fourth Proportional to 10,267, 14,168.50 and 5,551.32

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Solution

The fourth proportional to 10,267, 14,168.50 and 5,551.32 is: 7,660.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,267 : 14,168.50 = 5,551.32 : x
  2. Step 2: Convert to fraction form
    10,267/14,168.50 = 5,551.32/x
  3. Step 3: Cross multiply
    10,267x = 14,168.50 × 5,551.32
  4. Step 4: Simplify right side
    10,267x = 78,653,877.42
  5. Step 5: Solve for x
    x = 78,653,877.42/10,267
  6. Step 6: Final answer
    x = 7,660.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.