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Finding the Fourth Proportional to 6,809.67, 10,214.51 and 5,356.53

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Solution

The fourth proportional to 6,809.67, 10,214.51 and 5,356.53 is: 8,034.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.67 : 10,214.51 = 5,356.53 : x
  2. Step 2: Convert to fraction form
    6,809.67/10,214.51 = 5,356.53/x
  3. Step 3: Cross multiply
    6,809.67x = 10,214.51 × 5,356.53
  4. Step 4: Simplify right side
    6,809.67x = 54,714,302.47
  5. Step 5: Solve for x
    x = 54,714,302.47/6,809.67
  6. Step 6: Final answer
    x = 8,034.80

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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.