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Finding the Fourth Proportional to 11,989.16, 17,988.93 and 6,436.02

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Solution

The fourth proportional to 11,989.16, 17,988.93 and 6,436.02 is: 9,656.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,989.16 : 17,988.93 = 6,436.02 : x
  2. Step 2: Convert to fraction form
    11,989.16/17,988.93 = 6,436.02/x
  3. Step 3: Cross multiply
    11,989.16x = 17,988.93 × 6,436.02
  4. Step 4: Simplify right side
    11,989.16x = 115,777,113.26
  5. Step 5: Solve for x
    x = 115,777,113.26/11,989.16
  6. Step 6: Final answer
    x = 9,656.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.