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Finding the Fourth Proportional to 7,406.20, 10,217.64 and 4,753.20

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Solution

The fourth proportional to 7,406.20, 10,217.64 and 4,753.20 is: 6,557.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,406.20 : 10,217.64 = 4,753.20 : x
  2. Step 2: Convert to fraction form
    7,406.20/10,217.64 = 4,753.20/x
  3. Step 3: Cross multiply
    7,406.20x = 10,217.64 × 4,753.20
  4. Step 4: Simplify right side
    7,406.20x = 48,566,486.45
  5. Step 5: Solve for x
    x = 48,566,486.45/7,406.20
  6. Step 6: Final answer
    x = 6,557.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.