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Finding the Fourth Proportional to 10,325.88, 14,249.93 and 5,610.47

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Solution

The fourth proportional to 10,325.88, 14,249.93 and 5,610.47 is: 7,742.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,325.88 : 14,249.93 = 5,610.47 : x
  2. Step 2: Convert to fraction form
    10,325.88/14,249.93 = 5,610.47/x
  3. Step 3: Cross multiply
    10,325.88x = 14,249.93 × 5,610.47
  4. Step 4: Simplify right side
    10,325.88x = 79,948,705.47
  5. Step 5: Solve for x
    x = 79,948,705.47/10,325.88
  6. Step 6: Final answer
    x = 7,742.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.