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Finding the Fourth Proportional to 8,024.82, 11,077.30 and 7,184.02

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Solution

The fourth proportional to 8,024.82, 11,077.30 and 7,184.02 is: 9,916.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,024.82 : 11,077.30 = 7,184.02 : x
  2. Step 2: Convert to fraction form
    8,024.82/11,077.30 = 7,184.02/x
  3. Step 3: Cross multiply
    8,024.82x = 11,077.30 × 7,184.02
  4. Step 4: Simplify right side
    8,024.82x = 79,579,508.83
  5. Step 5: Solve for x
    x = 79,579,508.83/8,024.82
  6. Step 6: Final answer
    x = 9,916.67

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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.