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Finding the Fourth Proportional to 10,551.25, 14,561.18 and 5,835.53

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Solution

The fourth proportional to 10,551.25, 14,561.18 and 5,835.53 is: 8,053.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,551.25 : 14,561.18 = 5,835.53 : x
  2. Step 2: Convert to fraction form
    10,551.25/14,561.18 = 5,835.53/x
  3. Step 3: Cross multiply
    10,551.25x = 14,561.18 × 5,835.53
  4. Step 4: Simplify right side
    10,551.25x = 84,972,202.73
  5. Step 5: Solve for x
    x = 84,972,202.73/10,551.25
  6. Step 6: Final answer
    x = 8,053.28

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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.