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Finding the Fourth Proportional to 7,716.65, 11,555.20 and 5,341.44

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Solution

The fourth proportional to 7,716.65, 11,555.20 and 5,341.44 is: 7,998.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,716.65 : 11,555.20 = 5,341.44 : x
  2. Step 2: Convert to fraction form
    7,716.65/11,555.20 = 5,341.44/x
  3. Step 3: Cross multiply
    7,716.65x = 11,555.20 × 5,341.44
  4. Step 4: Simplify right side
    7,716.65x = 61,721,349.71
  5. Step 5: Solve for x
    x = 61,721,349.71/7,716.65
  6. Step 6: Final answer
    x = 7,998.47

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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.