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Finding the Fourth Proportional to 6,685.69, 10,029.68 and 2,987.84

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Solution

The fourth proportional to 6,685.69, 10,029.68 and 2,987.84 is: 4,482.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,685.69 : 10,029.68 = 2,987.84 : x
  2. Step 2: Convert to fraction form
    6,685.69/10,029.68 = 2,987.84/x
  3. Step 3: Cross multiply
    6,685.69x = 10,029.68 × 2,987.84
  4. Step 4: Simplify right side
    6,685.69x = 29,967,079.09
  5. Step 5: Solve for x
    x = 29,967,079.09/6,685.69
  6. Step 6: Final answer
    x = 4,482.27

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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.