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Finding the Fourth Proportional to 7,697.96, 10,618.26 and 5,339.24

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Solution

The fourth proportional to 7,697.96, 10,618.26 and 5,339.24 is: 7,364.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,697.96 : 10,618.26 = 5,339.24 : x
  2. Step 2: Convert to fraction form
    7,697.96/10,618.26 = 5,339.24/x
  3. Step 3: Cross multiply
    7,697.96x = 10,618.26 × 5,339.24
  4. Step 4: Simplify right side
    7,697.96x = 56,693,438.52
  5. Step 5: Solve for x
    x = 56,693,438.52/7,697.96
  6. Step 6: Final answer
    x = 7,364.74

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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.