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Finding the Fourth Proportional to 10,997.85, 16,465.31 and 7,292.71

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Solution

The fourth proportional to 10,997.85, 16,465.31 and 7,292.71 is: 10,918.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,997.85 : 16,465.31 = 7,292.71 : x
  2. Step 2: Convert to fraction form
    10,997.85/16,465.31 = 7,292.71/x
  3. Step 3: Cross multiply
    10,997.85x = 16,465.31 × 7,292.71
  4. Step 4: Simplify right side
    10,997.85x = 120,076,730.89
  5. Step 5: Solve for x
    x = 120,076,730.89/10,997.85
  6. Step 6: Final answer
    x = 10,918.20

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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.