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Finding the Fourth Proportional to 7,340.82, 11,000.86 and 5,689.62

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Solution

The fourth proportional to 7,340.82, 11,000.86 and 5,689.62 is: 8,526.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,340.82 : 11,000.86 = 5,689.62 : x
  2. Step 2: Convert to fraction form
    7,340.82/11,000.86 = 5,689.62/x
  3. Step 3: Cross multiply
    7,340.82x = 11,000.86 × 5,689.62
  4. Step 4: Simplify right side
    7,340.82x = 62,590,713.07
  5. Step 5: Solve for x
    x = 62,590,713.07/7,340.82
  6. Step 6: Final answer
    x = 8,526.39

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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.