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Finding the Fourth Proportional to 10,064.39, 13,889.31 and 5,588.20

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Solution

The fourth proportional to 10,064.39, 13,889.31 and 5,588.20 is: 7,711.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,064.39 : 13,889.31 = 5,588.20 : x
  2. Step 2: Convert to fraction form
    10,064.39/13,889.31 = 5,588.20/x
  3. Step 3: Cross multiply
    10,064.39x = 13,889.31 × 5,588.20
  4. Step 4: Simplify right side
    10,064.39x = 77,616,242.14
  5. Step 5: Solve for x
    x = 77,616,242.14/10,064.39
  6. Step 6: Final answer
    x = 7,711.97

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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.