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Finding the Fourth Proportional to 11,655.34, 16,084.17 and 6,350.20

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Solution

The fourth proportional to 11,655.34, 16,084.17 and 6,350.20 is: 8,763.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,655.34 : 16,084.17 = 6,350.20 : x
  2. Step 2: Convert to fraction form
    11,655.34/16,084.17 = 6,350.20/x
  3. Step 3: Cross multiply
    11,655.34x = 16,084.17 × 6,350.20
  4. Step 4: Simplify right side
    11,655.34x = 102,137,656.12
  5. Step 5: Solve for x
    x = 102,137,656.12/11,655.34
  6. Step 6: Final answer
    x = 8,763.16

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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.