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Finding the Fourth Proportional to 10,228.51, 14,113.74 and 6,249.79

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Solution

The fourth proportional to 10,228.51, 14,113.74 and 6,249.79 is: 8,623.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,228.51 : 14,113.74 = 6,249.79 : x
  2. Step 2: Convert to fraction form
    10,228.51/14,113.74 = 6,249.79/x
  3. Step 3: Cross multiply
    10,228.51x = 14,113.74 × 6,249.79
  4. Step 4: Simplify right side
    10,228.51x = 88,207,911.11
  5. Step 5: Solve for x
    x = 88,207,911.11/10,228.51
  6. Step 6: Final answer
    x = 8,623.73

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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.