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Finding the Fourth Proportional to 7,775.89, 10,737.44 and 6,667.81

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Solution

The fourth proportional to 7,775.89, 10,737.44 and 6,667.81 is: 9,207.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,775.89 : 10,737.44 = 6,667.81 : x
  2. Step 2: Convert to fraction form
    7,775.89/10,737.44 = 6,667.81/x
  3. Step 3: Cross multiply
    7,775.89x = 10,737.44 × 6,667.81
  4. Step 4: Simplify right side
    7,775.89x = 71,595,209.81
  5. Step 5: Solve for x
    x = 71,595,209.81/7,775.89
  6. Step 6: Final answer
    x = 9,207.33

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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.