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Finding the Fourth Proportional to 7,113.72, 10,650.40 and 5,655

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Solution

The fourth proportional to 7,113.72, 10,650.40 and 5,655 is: 8,466.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,113.72 : 10,650.40 = 5,655 : x
  2. Step 2: Convert to fraction form
    7,113.72/10,650.40 = 5,655/x
  3. Step 3: Cross multiply
    7,113.72x = 10,650.40 × 5,655
  4. Step 4: Simplify right side
    7,113.72x = 60,228,012
  5. Step 5: Solve for x
    x = 60,228,012/7,113.72
  6. Step 6: Final answer
    x = 8,466.46

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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.