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Finding the Fourth Proportional to 7,667.10, 10,577.82 and 5,016.06

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Solution

The fourth proportional to 7,667.10, 10,577.82 and 5,016.06 is: 6,920.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,667.10 : 10,577.82 = 5,016.06 : x
  2. Step 2: Convert to fraction form
    7,667.10/10,577.82 = 5,016.06/x
  3. Step 3: Cross multiply
    7,667.10x = 10,577.82 × 5,016.06
  4. Step 4: Simplify right side
    7,667.10x = 53,058,979.79
  5. Step 5: Solve for x
    x = 53,058,979.79/7,667.10
  6. Step 6: Final answer
    x = 6,920.35

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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.