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Finding the Fourth Proportional to 8,293.11, 11,443.86 and 4,707.65

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Solution

The fourth proportional to 8,293.11, 11,443.86 and 4,707.65 is: 6,496.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,293.11 : 11,443.86 = 4,707.65 : x
  2. Step 2: Convert to fraction form
    8,293.11/11,443.86 = 4,707.65/x
  3. Step 3: Cross multiply
    8,293.11x = 11,443.86 × 4,707.65
  4. Step 4: Simplify right side
    8,293.11x = 53,873,630.31
  5. Step 5: Solve for x
    x = 53,873,630.31/8,293.11
  6. Step 6: Final answer
    x = 6,496.19

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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.