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Finding the Fourth Proportional to 7,697.84, 11,536.31 and 4,364.52

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Solution

The fourth proportional to 7,697.84, 11,536.31 and 4,364.52 is: 6,540.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,697.84 : 11,536.31 = 4,364.52 : x
  2. Step 2: Convert to fraction form
    7,697.84/11,536.31 = 4,364.52/x
  3. Step 3: Cross multiply
    7,697.84x = 11,536.31 × 4,364.52
  4. Step 4: Simplify right side
    7,697.84x = 50,350,423.37
  5. Step 5: Solve for x
    x = 50,350,423.37/7,697.84
  6. Step 6: Final answer
    x = 6,540.85

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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.