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Finding the Fourth Proportional to 7,242.24, 10,859.52 and 3,136

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Solution

The fourth proportional to 7,242.24, 10,859.52 and 3,136 is: 4,702.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,242.24 : 10,859.52 = 3,136 : x
  2. Step 2: Convert to fraction form
    7,242.24/10,859.52 = 3,136/x
  3. Step 3: Cross multiply
    7,242.24x = 10,859.52 × 3,136
  4. Step 4: Simplify right side
    7,242.24x = 34,055,454.72
  5. Step 5: Solve for x
    x = 34,055,454.72/7,242.24
  6. Step 6: Final answer
    x = 4,702.34

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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.