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Finding the Fourth Proportional to 10,244.93, 14,138.27 and 5,768.84

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Solution

The fourth proportional to 10,244.93, 14,138.27 and 5,768.84 is: 7,961.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,244.93 : 14,138.27 = 5,768.84 : x
  2. Step 2: Convert to fraction form
    10,244.93/14,138.27 = 5,768.84/x
  3. Step 3: Cross multiply
    10,244.93x = 14,138.27 × 5,768.84
  4. Step 4: Simplify right side
    10,244.93x = 81,561,417.51
  5. Step 5: Solve for x
    x = 81,561,417.51/10,244.93
  6. Step 6: Final answer
    x = 7,961.15

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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.