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Finding the Fourth Proportional to 10,422.76, 14,383.33 and 5,642.72

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Solution

The fourth proportional to 10,422.76, 14,383.33 and 5,642.72 is: 7,786.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,422.76 : 14,383.33 = 5,642.72 : x
  2. Step 2: Convert to fraction form
    10,422.76/14,383.33 = 5,642.72/x
  3. Step 3: Cross multiply
    10,422.76x = 14,383.33 × 5,642.72
  4. Step 4: Simplify right side
    10,422.76x = 81,161,103.86
  5. Step 5: Solve for x
    x = 81,161,103.86/10,422.76
  6. Step 6: Final answer
    x = 7,786.91

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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.