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Finding the Fourth Proportional to 8,294.93, 11,407.77 and 6,596.36

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Solution

The fourth proportional to 8,294.93, 11,407.77 and 6,596.36 is: 9,071.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,294.93 : 11,407.77 = 6,596.36 : x
  2. Step 2: Convert to fraction form
    8,294.93/11,407.77 = 6,596.36/x
  3. Step 3: Cross multiply
    8,294.93x = 11,407.77 × 6,596.36
  4. Step 4: Simplify right side
    8,294.93x = 75,249,700.68
  5. Step 5: Solve for x
    x = 75,249,700.68/8,294.93
  6. Step 6: Final answer
    x = 9,071.78

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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.