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Finding the Fourth Proportional to 7,927.92, 10,929.87 and 6,804

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Solution

The fourth proportional to 7,927.92, 10,929.87 and 6,804 is: 9,380.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,927.92 : 10,929.87 = 6,804 : x
  2. Step 2: Convert to fraction form
    7,927.92/10,929.87 = 6,804/x
  3. Step 3: Cross multiply
    7,927.92x = 10,929.87 × 6,804
  4. Step 4: Simplify right side
    7,927.92x = 74,366,835.48
  5. Step 5: Solve for x
    x = 74,366,835.48/7,927.92
  6. Step 6: Final answer
    x = 9,380.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.