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Finding the Fourth Proportional to 10,048.73, 13,865.93 and 5,741.70

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Solution

The fourth proportional to 10,048.73, 13,865.93 and 5,741.70 is: 7,922.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,048.73 : 13,865.93 = 5,741.70 : x
  2. Step 2: Convert to fraction form
    10,048.73/13,865.93 = 5,741.70/x
  3. Step 3: Cross multiply
    10,048.73x = 13,865.93 × 5,741.70
  4. Step 4: Simplify right side
    10,048.73x = 79,613,981.57
  5. Step 5: Solve for x
    x = 79,613,981.57/10,048.73
  6. Step 6: Final answer
    x = 7,922.79

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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.