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Finding the Fourth Proportional to 10,360.86, 14,297.97 and 5,645.13

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Solution

The fourth proportional to 10,360.86, 14,297.97 and 5,645.13 is: 7,790.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,360.86 : 14,297.97 = 5,645.13 : x
  2. Step 2: Convert to fraction form
    10,360.86/14,297.97 = 5,645.13/x
  3. Step 3: Cross multiply
    10,360.86x = 14,297.97 × 5,645.13
  4. Step 4: Simplify right side
    10,360.86x = 80,713,899.39
  5. Step 5: Solve for x
    x = 80,713,899.39/10,360.86
  6. Step 6: Final answer
    x = 7,790.27

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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.