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Finding the Fourth Proportional to 10,064.85, 13,889.52 and 5,588.61

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Solution

The fourth proportional to 10,064.85, 13,889.52 and 5,588.61 is: 7,712.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,064.85 : 13,889.52 = 5,588.61 : x
  2. Step 2: Convert to fraction form
    10,064.85/13,889.52 = 5,588.61/x
  3. Step 3: Cross multiply
    10,064.85x = 13,889.52 × 5,588.61
  4. Step 4: Simplify right side
    10,064.85x = 77,623,110.37
  5. Step 5: Solve for x
    x = 77,623,110.37/10,064.85
  6. Step 6: Final answer
    x = 7,712.30

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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.