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Finding the Fourth Proportional to 10,667.18, 15,992.42 and 6,506.41

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Solution

The fourth proportional to 10,667.18, 15,992.42 and 6,506.41 is: 9,754.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,667.18 : 15,992.42 = 6,506.41 : x
  2. Step 2: Convert to fraction form
    10,667.18/15,992.42 = 6,506.41/x
  3. Step 3: Cross multiply
    10,667.18x = 15,992.42 × 6,506.41
  4. Step 4: Simplify right side
    10,667.18x = 104,053,241.41
  5. Step 5: Solve for x
    x = 104,053,241.41/10,667.18
  6. Step 6: Final answer
    x = 9,754.52

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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.