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Finding the Fourth Proportional to 7,850.07, 11,774.09 and 6,541.99

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Solution

The fourth proportional to 7,850.07, 11,774.09 and 6,541.99 is: 9,812.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,850.07 : 11,774.09 = 6,541.99 : x
  2. Step 2: Convert to fraction form
    7,850.07/11,774.09 = 6,541.99/x
  3. Step 3: Cross multiply
    7,850.07x = 11,774.09 × 6,541.99
  4. Step 4: Simplify right side
    7,850.07x = 77,025,965.96
  5. Step 5: Solve for x
    x = 77,025,965.96/7,850.07
  6. Step 6: Final answer
    x = 9,812.14

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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.