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Finding the Fourth Proportional to 7,828.88, 11,682.61 and 6,998

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Solution

The fourth proportional to 7,828.88, 11,682.61 and 6,998 is: 10,442.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,828.88 : 11,682.61 = 6,998 : x
  2. Step 2: Convert to fraction form
    7,828.88/11,682.61 = 6,998/x
  3. Step 3: Cross multiply
    7,828.88x = 11,682.61 × 6,998
  4. Step 4: Simplify right side
    7,828.88x = 81,754,904.78
  5. Step 5: Solve for x
    x = 81,754,904.78/7,828.88
  6. Step 6: Final answer
    x = 10,442.73

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.