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Finding the Fourth Proportional to 11,649.40, 16,081.62 and 7,460.04

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Solution

The fourth proportional to 11,649.40, 16,081.62 and 7,460.04 is: 10,298.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,649.40 : 16,081.62 = 7,460.04 : x
  2. Step 2: Convert to fraction form
    11,649.40/16,081.62 = 7,460.04/x
  3. Step 3: Cross multiply
    11,649.40x = 16,081.62 × 7,460.04
  4. Step 4: Simplify right side
    11,649.40x = 119,969,528.46
  5. Step 5: Solve for x
    x = 119,969,528.46/11,649.40
  6. Step 6: Final answer
    x = 10,298.34

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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.