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Finding the Fourth Proportional to 10,972.90, 16,451.42 and 6,520.01

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Solution

The fourth proportional to 10,972.90, 16,451.42 and 6,520.01 is: 9,775.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,972.90 : 16,451.42 = 6,520.01 : x
  2. Step 2: Convert to fraction form
    10,972.90/16,451.42 = 6,520.01/x
  3. Step 3: Cross multiply
    10,972.90x = 16,451.42 × 6,520.01
  4. Step 4: Simplify right side
    10,972.90x = 107,263,308.06
  5. Step 5: Solve for x
    x = 107,263,308.06/10,972.90
  6. Step 6: Final answer
    x = 9,775.29

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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.