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Finding the Fourth Proportional to 7,872.74, 11,810.74 and 6,583.22

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Solution

The fourth proportional to 7,872.74, 11,810.74 and 6,583.22 is: 9,876.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872.74 : 11,810.74 = 6,583.22 : x
  2. Step 2: Convert to fraction form
    7,872.74/11,810.74 = 6,583.22/x
  3. Step 3: Cross multiply
    7,872.74x = 11,810.74 × 6,583.22
  4. Step 4: Simplify right side
    7,872.74x = 77,752,699.78
  5. Step 5: Solve for x
    x = 77,752,699.78/7,872.74
  6. Step 6: Final answer
    x = 9,876.19

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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.