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Finding the Fourth Proportional to 7,829.17, 11,737.72 and 2,560.98

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Solution

The fourth proportional to 7,829.17, 11,737.72 and 2,560.98 is: 3,839.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,829.17 : 11,737.72 = 2,560.98 : x
  2. Step 2: Convert to fraction form
    7,829.17/11,737.72 = 2,560.98/x
  3. Step 3: Cross multiply
    7,829.17x = 11,737.72 × 2,560.98
  4. Step 4: Simplify right side
    7,829.17x = 30,060,113.38
  5. Step 5: Solve for x
    x = 30,060,113.38/7,829.17
  6. Step 6: Final answer
    x = 3,839.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.