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Finding the Fourth Proportional to 10,693.25, 16,029.21 and 5,145.02

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Solution

The fourth proportional to 10,693.25, 16,029.21 and 5,145.02 is: 7,712.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,693.25 : 16,029.21 = 5,145.02 : x
  2. Step 2: Convert to fraction form
    10,693.25/16,029.21 = 5,145.02/x
  3. Step 3: Cross multiply
    10,693.25x = 16,029.21 × 5,145.02
  4. Step 4: Simplify right side
    10,693.25x = 82,470,606.03
  5. Step 5: Solve for x
    x = 82,470,606.03/10,693.25
  6. Step 6: Final answer
    x = 7,712.40

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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.