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Finding the Fourth Proportional to 11,618.68, 16,035.14 and 6,902.96

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Solution

The fourth proportional to 11,618.68, 16,035.14 and 6,902.96 is: 9,526.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,618.68 : 16,035.14 = 6,902.96 : x
  2. Step 2: Convert to fraction form
    11,618.68/16,035.14 = 6,902.96/x
  3. Step 3: Cross multiply
    11,618.68x = 16,035.14 × 6,902.96
  4. Step 4: Simplify right side
    11,618.68x = 110,689,987.36
  5. Step 5: Solve for x
    x = 110,689,987.36/11,618.68
  6. Step 6: Final answer
    x = 9,526.90

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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.