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Finding the Fourth Proportional to 7,346.20, 11,005.41 and 5,694.66

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Solution

The fourth proportional to 7,346.20, 11,005.41 and 5,694.66 is: 8,531.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,346.20 : 11,005.41 = 5,694.66 : x
  2. Step 2: Convert to fraction form
    7,346.20/11,005.41 = 5,694.66/x
  3. Step 3: Cross multiply
    7,346.20x = 11,005.41 × 5,694.66
  4. Step 4: Simplify right side
    7,346.20x = 62,672,068.11
  5. Step 5: Solve for x
    x = 62,672,068.11/7,346.20
  6. Step 6: Final answer
    x = 8,531.22

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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.