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Finding the Fourth Proportional to 6,537.53, 9,800.80 and 4,557.33

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Solution

The fourth proportional to 6,537.53, 9,800.80 and 4,557.33 is: 6,832.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,537.53 : 9,800.80 = 4,557.33 : x
  2. Step 2: Convert to fraction form
    6,537.53/9,800.80 = 4,557.33/x
  3. Step 3: Cross multiply
    6,537.53x = 9,800.80 × 4,557.33
  4. Step 4: Simplify right side
    6,537.53x = 44,665,468.47
  5. Step 5: Solve for x
    x = 44,665,468.47/6,537.53
  6. Step 6: Final answer
    x = 6,832.17

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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.