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Finding the Fourth Proportional to 10,109.73, 13,951.53 and 5,633.73

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Solution

The fourth proportional to 10,109.73, 13,951.53 and 5,633.73 is: 7,774.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,109.73 : 13,951.53 = 5,633.73 : x
  2. Step 2: Convert to fraction form
    10,109.73/13,951.53 = 5,633.73/x
  3. Step 3: Cross multiply
    10,109.73x = 13,951.53 × 5,633.73
  4. Step 4: Simplify right side
    10,109.73x = 78,599,153.11
  5. Step 5: Solve for x
    x = 78,599,153.11/10,109.73
  6. Step 6: Final answer
    x = 7,774.60

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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.