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Finding the Fourth Proportional to 8,035.76, 11,069.52 and 6,986

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Solution

The fourth proportional to 8,035.76, 11,069.52 and 6,986 is: 9,623.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,035.76 : 11,069.52 = 6,986 : x
  2. Step 2: Convert to fraction form
    8,035.76/11,069.52 = 6,986/x
  3. Step 3: Cross multiply
    8,035.76x = 11,069.52 × 6,986
  4. Step 4: Simplify right side
    8,035.76x = 77,331,666.72
  5. Step 5: Solve for x
    x = 77,331,666.72/8,035.76
  6. Step 6: Final answer
    x = 9,623.44

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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.