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Finding the Fourth Proportional to 10,406.97, 15,593.04 and 7,113.51

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Solution

The fourth proportional to 10,406.97, 15,593.04 and 7,113.51 is: 10,658.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,406.97 : 15,593.04 = 7,113.51 : x
  2. Step 2: Convert to fraction form
    10,406.97/15,593.04 = 7,113.51/x
  3. Step 3: Cross multiply
    10,406.97x = 15,593.04 × 7,113.51
  4. Step 4: Simplify right side
    10,406.97x = 110,921,245.97
  5. Step 5: Solve for x
    x = 110,921,245.97/10,406.97
  6. Step 6: Final answer
    x = 10,658.36

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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.