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Finding the Fourth Proportional to 7,061.56, 10,594.14 and 4,142.44

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Solution

The fourth proportional to 7,061.56, 10,594.14 and 4,142.44 is: 6,214.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,061.56 : 10,594.14 = 4,142.44 : x
  2. Step 2: Convert to fraction form
    7,061.56/10,594.14 = 4,142.44/x
  3. Step 3: Cross multiply
    7,061.56x = 10,594.14 × 4,142.44
  4. Step 4: Simplify right side
    7,061.56x = 43,885,589.30
  5. Step 5: Solve for x
    x = 43,885,589.30/7,061.56
  6. Step 6: Final answer
    x = 6,214.72

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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.