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Finding the Fourth Proportional to 7,697.08, 11,535.76 and 4,188.70

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Solution

The fourth proportional to 7,697.08, 11,535.76 and 4,188.70 is: 6,277.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,697.08 : 11,535.76 = 4,188.70 : x
  2. Step 2: Convert to fraction form
    7,697.08/11,535.76 = 4,188.70/x
  3. Step 3: Cross multiply
    7,697.08x = 11,535.76 × 4,188.70
  4. Step 4: Simplify right side
    7,697.08x = 48,319,837.91
  5. Step 5: Solve for x
    x = 48,319,837.91/7,697.08
  6. Step 6: Final answer
    x = 6,277.68

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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.