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Finding the Fourth Proportional to 10,812.53, 16,111.31 and 9,633.47

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Solution

The fourth proportional to 10,812.53, 16,111.31 and 9,633.47 is: 14,354.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,812.53 : 16,111.31 = 9,633.47 : x
  2. Step 2: Convert to fraction form
    10,812.53/16,111.31 = 9,633.47/x
  3. Step 3: Cross multiply
    10,812.53x = 16,111.31 × 9,633.47
  4. Step 4: Simplify right side
    10,812.53x = 155,207,692.82
  5. Step 5: Solve for x
    x = 155,207,692.82/10,812.53
  6. Step 6: Final answer
    x = 14,354.44

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.