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Finding the Fourth Proportional to 8,122.88, 11,214.74 and 6,634.35

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Solution

The fourth proportional to 8,122.88, 11,214.74 and 6,634.35 is: 9,159.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,122.88 : 11,214.74 = 6,634.35 : x
  2. Step 2: Convert to fraction form
    8,122.88/11,214.74 = 6,634.35/x
  3. Step 3: Cross multiply
    8,122.88x = 11,214.74 × 6,634.35
  4. Step 4: Simplify right side
    8,122.88x = 74,402,477.15
  5. Step 5: Solve for x
    x = 74,402,477.15/8,122.88
  6. Step 6: Final answer
    x = 9,159.62

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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.