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Finding the Fourth Proportional to 7,643.10, 11,490.57 and 6,102.78

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Solution

The fourth proportional to 7,643.10, 11,490.57 and 6,102.78 is: 9,174.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,643.10 : 11,490.57 = 6,102.78 : x
  2. Step 2: Convert to fraction form
    7,643.10/11,490.57 = 6,102.78/x
  3. Step 3: Cross multiply
    7,643.10x = 11,490.57 × 6,102.78
  4. Step 4: Simplify right side
    7,643.10x = 70,124,420.78
  5. Step 5: Solve for x
    x = 70,124,420.78/7,643.10
  6. Step 6: Final answer
    x = 9,174.87

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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.