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Finding the Fourth Proportional to 7,812.84, 11,713.98 and 4,111.14

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Solution

The fourth proportional to 7,812.84, 11,713.98 and 4,111.14 is: 6,163.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812.84 : 11,713.98 = 4,111.14 : x
  2. Step 2: Convert to fraction form
    7,812.84/11,713.98 = 4,111.14/x
  3. Step 3: Cross multiply
    7,812.84x = 11,713.98 × 4,111.14
  4. Step 4: Simplify right side
    7,812.84x = 48,157,811.74
  5. Step 5: Solve for x
    x = 48,157,811.74/7,812.84
  6. Step 6: Final answer
    x = 6,163.93

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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.