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Finding the Fourth Proportional to 7,311.85, 10,967.72 and 1,765.17

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Solution

The fourth proportional to 7,311.85, 10,967.72 and 1,765.17 is: 2,647.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,311.85 : 10,967.72 = 1,765.17 : x
  2. Step 2: Convert to fraction form
    7,311.85/10,967.72 = 1,765.17/x
  3. Step 3: Cross multiply
    7,311.85x = 10,967.72 × 1,765.17
  4. Step 4: Simplify right side
    7,311.85x = 19,359,881.49
  5. Step 5: Solve for x
    x = 19,359,881.49/7,311.85
  6. Step 6: Final answer
    x = 2,647.74

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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.