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Finding the Fourth Proportional to 7,068.86, 9,756.80 and 4,086.43

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Solution

The fourth proportional to 7,068.86, 9,756.80 and 4,086.43 is: 5,640.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,068.86 : 9,756.80 = 4,086.43 : x
  2. Step 2: Convert to fraction form
    7,068.86/9,756.80 = 4,086.43/x
  3. Step 3: Cross multiply
    7,068.86x = 9,756.80 × 4,086.43
  4. Step 4: Simplify right side
    7,068.86x = 39,870,480.22
  5. Step 5: Solve for x
    x = 39,870,480.22/7,068.86
  6. Step 6: Final answer
    x = 5,640.30

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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.