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Finding the Fourth Proportional to 10,857.53, 16,284.01 and 3,064.52

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Solution

The fourth proportional to 10,857.53, 16,284.01 and 3,064.52 is: 4,596.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,857.53 : 16,284.01 = 3,064.52 : x
  2. Step 2: Convert to fraction form
    10,857.53/16,284.01 = 3,064.52/x
  3. Step 3: Cross multiply
    10,857.53x = 16,284.01 × 3,064.52
  4. Step 4: Simplify right side
    10,857.53x = 49,902,577.58
  5. Step 5: Solve for x
    x = 49,902,577.58/10,857.53
  6. Step 6: Final answer
    x = 4,596.13

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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.