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Finding the Fourth Proportional to 10,292.17, 14,197.98 and 6,508.96

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Solution

The fourth proportional to 10,292.17, 14,197.98 and 6,508.96 is: 8,979.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,292.17 : 14,197.98 = 6,508.96 : x
  2. Step 2: Convert to fraction form
    10,292.17/14,197.98 = 6,508.96/x
  3. Step 3: Cross multiply
    10,292.17x = 14,197.98 × 6,508.96
  4. Step 4: Simplify right side
    10,292.17x = 92,414,083.90
  5. Step 5: Solve for x
    x = 92,414,083.90/10,292.17
  6. Step 6: Final answer
    x = 8,979.07

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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.