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Finding the Fourth Proportional to 7,294.31, 10,065.91 and 4,107.77

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Solution

The fourth proportional to 7,294.31, 10,065.91 and 4,107.77 is: 5,668.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,294.31 : 10,065.91 = 4,107.77 : x
  2. Step 2: Convert to fraction form
    7,294.31/10,065.91 = 4,107.77/x
  3. Step 3: Cross multiply
    7,294.31x = 10,065.91 × 4,107.77
  4. Step 4: Simplify right side
    7,294.31x = 41,348,443.12
  5. Step 5: Solve for x
    x = 41,348,443.12/7,294.31
  6. Step 6: Final answer
    x = 5,668.59

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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.