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Finding the Fourth Proportional to 11,602.20, 15,998.93 and 6,885.57

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Solution

The fourth proportional to 11,602.20, 15,998.93 and 6,885.57 is: 9,494.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,602.20 : 15,998.93 = 6,885.57 : x
  2. Step 2: Convert to fraction form
    11,602.20/15,998.93 = 6,885.57/x
  3. Step 3: Cross multiply
    11,602.20x = 15,998.93 × 6,885.57
  4. Step 4: Simplify right side
    11,602.20x = 110,161,829.65
  5. Step 5: Solve for x
    x = 110,161,829.65/11,602.20
  6. Step 6: Final answer
    x = 9,494.91

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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.