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Finding the Fourth Proportional to 7,137.76, 10,695.12 and 4,396

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Solution

The fourth proportional to 7,137.76, 10,695.12 and 4,396 is: 6,586.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,137.76 : 10,695.12 = 4,396 : x
  2. Step 2: Convert to fraction form
    7,137.76/10,695.12 = 4,396/x
  3. Step 3: Cross multiply
    7,137.76x = 10,695.12 × 4,396
  4. Step 4: Simplify right side
    7,137.76x = 47,015,747.52
  5. Step 5: Solve for x
    x = 47,015,747.52/7,137.76
  6. Step 6: Final answer
    x = 6,586.91

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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.