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Finding the Fourth Proportional to 7,035.60, 9,727.68 and 6,160.80

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Solution

The fourth proportional to 7,035.60, 9,727.68 and 6,160.80 is: 8,518.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,035.60 : 9,727.68 = 6,160.80 : x
  2. Step 2: Convert to fraction form
    7,035.60/9,727.68 = 6,160.80/x
  3. Step 3: Cross multiply
    7,035.60x = 9,727.68 × 6,160.80
  4. Step 4: Simplify right side
    7,035.60x = 59,930,290.94
  5. Step 5: Solve for x
    x = 59,930,290.94/7,035.60
  6. Step 6: Final answer
    x = 8,518.15

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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.