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Finding the Fourth Proportional to 10,670.23, 16,009.95 and 4,431.61

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Solution

The fourth proportional to 10,670.23, 16,009.95 and 4,431.61 is: 6,649.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,670.23 : 16,009.95 = 4,431.61 : x
  2. Step 2: Convert to fraction form
    10,670.23/16,009.95 = 4,431.61/x
  3. Step 3: Cross multiply
    10,670.23x = 16,009.95 × 4,431.61
  4. Step 4: Simplify right side
    10,670.23x = 70,949,891.15
  5. Step 5: Solve for x
    x = 70,949,891.15/10,670.23
  6. Step 6: Final answer
    x = 6,649.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.