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Finding the Fourth Proportional to 8,490.83, 11,709.09 and 6,599.07

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Solution

The fourth proportional to 8,490.83, 11,709.09 and 6,599.07 is: 9,100.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,490.83 : 11,709.09 = 6,599.07 : x
  2. Step 2: Convert to fraction form
    8,490.83/11,709.09 = 6,599.07/x
  3. Step 3: Cross multiply
    8,490.83x = 11,709.09 × 6,599.07
  4. Step 4: Simplify right side
    8,490.83x = 77,269,104.55
  5. Step 5: Solve for x
    x = 77,269,104.55/8,490.83
  6. Step 6: Final answer
    x = 9,100.31

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