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Finding the Fourth Proportional to 10,625.83, 14,663.25 and 5,910.01

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Solution

The fourth proportional to 10,625.83, 14,663.25 and 5,910.01 is: 8,155.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,625.83 : 14,663.25 = 5,910.01 : x
  2. Step 2: Convert to fraction form
    10,625.83/14,663.25 = 5,910.01/x
  3. Step 3: Cross multiply
    10,625.83x = 14,663.25 × 5,910.01
  4. Step 4: Simplify right side
    10,625.83x = 86,659,917.47
  5. Step 5: Solve for x
    x = 86,659,917.47/10,625.83
  6. Step 6: Final answer
    x = 8,155.59

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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.