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Finding the Fourth Proportional to 10,709.90, 16,070.34 and 5,167.97

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Solution

The fourth proportional to 10,709.90, 16,070.34 and 5,167.97 is: 7,754.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,709.90 : 16,070.34 = 5,167.97 : x
  2. Step 2: Convert to fraction form
    10,709.90/16,070.34 = 5,167.97/x
  3. Step 3: Cross multiply
    10,709.90x = 16,070.34 × 5,167.97
  4. Step 4: Simplify right side
    10,709.90x = 83,051,035.01
  5. Step 5: Solve for x
    x = 83,051,035.01/10,709.90
  6. Step 6: Final answer
    x = 7,754.60

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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.