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Finding the Fourth Proportional to 10,380.25, 14,324.95 and 5,664.53

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Solution

The fourth proportional to 10,380.25, 14,324.95 and 5,664.53 is: 7,817.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,380.25 : 14,324.95 = 5,664.53 : x
  2. Step 2: Convert to fraction form
    10,380.25/14,324.95 = 5,664.53/x
  3. Step 3: Cross multiply
    10,380.25x = 14,324.95 × 5,664.53
  4. Step 4: Simplify right side
    10,380.25x = 81,144,151.92
  5. Step 5: Solve for x
    x = 81,144,151.92/10,380.25
  6. Step 6: Final answer
    x = 7,817.17

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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.