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Finding the Fourth Proportional to 10,143.16, 14,000.24 and 6,166.44

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Solution

The fourth proportional to 10,143.16, 14,000.24 and 6,166.44 is: 8,511.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,143.16 : 14,000.24 = 6,166.44 : x
  2. Step 2: Convert to fraction form
    10,143.16/14,000.24 = 6,166.44/x
  3. Step 3: Cross multiply
    10,143.16x = 14,000.24 × 6,166.44
  4. Step 4: Simplify right side
    10,143.16x = 86,331,639.95
  5. Step 5: Solve for x
    x = 86,331,639.95/10,143.16
  6. Step 6: Final answer
    x = 8,511.32

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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.