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Finding the Fourth Proportional to 8,102.63, 11,178.90 and 6,607.95

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Solution

The fourth proportional to 8,102.63, 11,178.90 and 6,607.95 is: 9,116.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102.63 : 11,178.90 = 6,607.95 : x
  2. Step 2: Convert to fraction form
    8,102.63/11,178.90 = 6,607.95/x
  3. Step 3: Cross multiply
    8,102.63x = 11,178.90 × 6,607.95
  4. Step 4: Simplify right side
    8,102.63x = 73,869,612.26
  5. Step 5: Solve for x
    x = 73,869,612.26/8,102.63
  6. Step 6: Final answer
    x = 9,116.75

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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.