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Finding the Fourth Proportional to 10,579.32, 14,602.07 and 6,105.73

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Solution

The fourth proportional to 10,579.32, 14,602.07 and 6,105.73 is: 8,427.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,579.32 : 14,602.07 = 6,105.73 : x
  2. Step 2: Convert to fraction form
    10,579.32/14,602.07 = 6,105.73/x
  3. Step 3: Cross multiply
    10,579.32x = 14,602.07 × 6,105.73
  4. Step 4: Simplify right side
    10,579.32x = 89,156,296.86
  5. Step 5: Solve for x
    x = 89,156,296.86/10,579.32
  6. Step 6: Final answer
    x = 8,427.41

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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.