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Finding the Fourth Proportional to 10,065.38, 13,889.97 and 5,588.99

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Solution

The fourth proportional to 10,065.38, 13,889.97 and 5,588.99 is: 7,712.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,065.38 : 13,889.97 = 5,588.99 : x
  2. Step 2: Convert to fraction form
    10,065.38/13,889.97 = 5,588.99/x
  3. Step 3: Cross multiply
    10,065.38x = 13,889.97 × 5,588.99
  4. Step 4: Simplify right side
    10,065.38x = 77,630,903.43
  5. Step 5: Solve for x
    x = 77,630,903.43/10,065.38
  6. Step 6: Final answer
    x = 7,712.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.