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Finding the Fourth Proportional to 7,682.19, 11,526.12 and 6,215.01

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Solution

The fourth proportional to 7,682.19, 11,526.12 and 6,215.01 is: 9,324.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,682.19 : 11,526.12 = 6,215.01 : x
  2. Step 2: Convert to fraction form
    7,682.19/11,526.12 = 6,215.01/x
  3. Step 3: Cross multiply
    7,682.19x = 11,526.12 × 6,215.01
  4. Step 4: Simplify right side
    7,682.19x = 71,634,951.06
  5. Step 5: Solve for x
    x = 71,634,951.06/7,682.19
  6. Step 6: Final answer
    x = 9,324.81

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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.