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Finding the Fourth Proportional to 10,048.70, 13,864.82 and 5,857.22

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Solution

The fourth proportional to 10,048.70, 13,864.82 and 5,857.22 is: 8,081.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,048.70 : 13,864.82 = 5,857.22 : x
  2. Step 2: Convert to fraction form
    10,048.70/13,864.82 = 5,857.22/x
  3. Step 3: Cross multiply
    10,048.70x = 13,864.82 × 5,857.22
  4. Step 4: Simplify right side
    10,048.70x = 81,209,301.00
  5. Step 5: Solve for x
    x = 81,209,301.00/10,048.70
  6. Step 6: Final answer
    x = 8,081.57

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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.