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Finding the Fourth Proportional to 10,065.96, 13,889.97 and 5,588.69

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Solution

The fourth proportional to 10,065.96, 13,889.97 and 5,588.69 is: 7,711.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,065.96 : 13,889.97 = 5,588.69 : x
  2. Step 2: Convert to fraction form
    10,065.96/13,889.97 = 5,588.69/x
  3. Step 3: Cross multiply
    10,065.96x = 13,889.97 × 5,588.69
  4. Step 4: Simplify right side
    10,065.96x = 77,626,666.99
  5. Step 5: Solve for x
    x = 77,626,666.99/10,065.96
  6. Step 6: Final answer
    x = 7,711.80

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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.