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Finding the Fourth Proportional to 7,697.24, 11,538.98 and 3,016.16

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Solution

The fourth proportional to 7,697.24, 11,538.98 and 3,016.16 is: 4,521.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,697.24 : 11,538.98 = 3,016.16 : x
  2. Step 2: Convert to fraction form
    7,697.24/11,538.98 = 3,016.16/x
  3. Step 3: Cross multiply
    7,697.24x = 11,538.98 × 3,016.16
  4. Step 4: Simplify right side
    7,697.24x = 34,803,409.92
  5. Step 5: Solve for x
    x = 34,803,409.92/7,697.24
  6. Step 6: Final answer
    x = 4,521.54

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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.