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Finding the Fourth Proportional to 10,064.88, 13,889.48 and 5,588.68

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Solution

The fourth proportional to 10,064.88, 13,889.48 and 5,588.68 is: 7,712.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,064.88 : 13,889.48 = 5,588.68 : x
  2. Step 2: Convert to fraction form
    10,064.88/13,889.48 = 5,588.68/x
  3. Step 3: Cross multiply
    10,064.88x = 13,889.48 × 5,588.68
  4. Step 4: Simplify right side
    10,064.88x = 77,623,859.09
  5. Step 5: Solve for x
    x = 77,623,859.09/10,064.88
  6. Step 6: Final answer
    x = 7,712.35

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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.