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Finding the Fourth Proportional to 7,614.15, 10,509.54 and 4,472.43

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Solution

The fourth proportional to 7,614.15, 10,509.54 and 4,472.43 is: 6,173.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,614.15 : 10,509.54 = 4,472.43 : x
  2. Step 2: Convert to fraction form
    7,614.15/10,509.54 = 4,472.43/x
  3. Step 3: Cross multiply
    7,614.15x = 10,509.54 × 4,472.43
  4. Step 4: Simplify right side
    7,614.15x = 47,003,181.98
  5. Step 5: Solve for x
    x = 47,003,181.98/7,614.15
  6. Step 6: Final answer
    x = 6,173.14

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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.