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Finding the Fourth Proportional to 7,605.29, 11,407.86 and 2,059.20

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Solution

The fourth proportional to 7,605.29, 11,407.86 and 2,059.20 is: 3,088.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,605.29 : 11,407.86 = 2,059.20 : x
  2. Step 2: Convert to fraction form
    7,605.29/11,407.86 = 2,059.20/x
  3. Step 3: Cross multiply
    7,605.29x = 11,407.86 × 2,059.20
  4. Step 4: Simplify right side
    7,605.29x = 23,491,065.31
  5. Step 5: Solve for x
    x = 23,491,065.31/7,605.29
  6. Step 6: Final answer
    x = 3,088.78

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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.