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Finding the Fourth Proportional to 7,012.98, 10,519.47 and 6,199.20

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Solution

The fourth proportional to 7,012.98, 10,519.47 and 6,199.20 is: 9,298.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,012.98 : 10,519.47 = 6,199.20 : x
  2. Step 2: Convert to fraction form
    7,012.98/10,519.47 = 6,199.20/x
  3. Step 3: Cross multiply
    7,012.98x = 10,519.47 × 6,199.20
  4. Step 4: Simplify right side
    7,012.98x = 65,212,298.42
  5. Step 5: Solve for x
    x = 65,212,298.42/7,012.98
  6. Step 6: Final answer
    x = 9,298.80

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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.