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Finding the Fourth Proportional to 6,986.32, 10,482.58 and 2,829.30

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Solution

The fourth proportional to 6,986.32, 10,482.58 and 2,829.30 is: 4,245.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,986.32 : 10,482.58 = 2,829.30 : x
  2. Step 2: Convert to fraction form
    6,986.32/10,482.58 = 2,829.30/x
  3. Step 3: Cross multiply
    6,986.32x = 10,482.58 × 2,829.30
  4. Step 4: Simplify right side
    6,986.32x = 29,658,363.59
  5. Step 5: Solve for x
    x = 29,658,363.59/6,986.32
  6. Step 6: Final answer
    x = 4,245.21

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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.