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Finding the Fourth Proportional to 11,706.93, 16,155.85 and 6,402.15

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Solution

The fourth proportional to 11,706.93, 16,155.85 and 6,402.15 is: 8,835.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,706.93 : 16,155.85 = 6,402.15 : x
  2. Step 2: Convert to fraction form
    11,706.93/16,155.85 = 6,402.15/x
  3. Step 3: Cross multiply
    11,706.93x = 16,155.85 × 6,402.15
  4. Step 4: Simplify right side
    11,706.93x = 103,432,175.08
  5. Step 5: Solve for x
    x = 103,432,175.08/11,706.93
  6. Step 6: Final answer
    x = 8,835.12

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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.