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Finding the Fourth Proportional to 8,403.53, 11,578.59 and 6,278.22

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Solution

The fourth proportional to 8,403.53, 11,578.59 and 6,278.22 is: 8,650.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,403.53 : 11,578.59 = 6,278.22 : x
  2. Step 2: Convert to fraction form
    8,403.53/11,578.59 = 6,278.22/x
  3. Step 3: Cross multiply
    8,403.53x = 11,578.59 × 6,278.22
  4. Step 4: Simplify right side
    8,403.53x = 72,692,935.31
  5. Step 5: Solve for x
    x = 72,692,935.31/8,403.53
  6. Step 6: Final answer
    x = 8,650.29

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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.