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Finding the Fourth Proportional to 4,007.80, 6,011.84 and 1,086.16

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Solution

The fourth proportional to 4,007.80, 6,011.84 and 1,086.16 is: 1,629.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,007.80 : 6,011.84 = 1,086.16 : x
  2. Step 2: Convert to fraction form
    4,007.80/6,011.84 = 1,086.16/x
  3. Step 3: Cross multiply
    4,007.80x = 6,011.84 × 1,086.16
  4. Step 4: Simplify right side
    4,007.80x = 6,529,820.13
  5. Step 5: Solve for x
    x = 6,529,820.13/4,007.80
  6. Step 6: Final answer
    x = 1,629.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.