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Finding the Fourth Proportional to 10,540.22, 14,544.77 and 5,824.13

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Solution

The fourth proportional to 10,540.22, 14,544.77 and 5,824.13 is: 8,036.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,540.22 : 14,544.77 = 5,824.13 : x
  2. Step 2: Convert to fraction form
    10,540.22/14,544.77 = 5,824.13/x
  3. Step 3: Cross multiply
    10,540.22x = 14,544.77 × 5,824.13
  4. Step 4: Simplify right side
    10,540.22x = 84,710,529.46
  5. Step 5: Solve for x
    x = 84,710,529.46/10,540.22
  6. Step 6: Final answer
    x = 8,036.89

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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.