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Finding the Fourth Proportional to 10,009.08, 13,811.82 and 5,532.74

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Solution

The fourth proportional to 10,009.08, 13,811.82 and 5,532.74 is: 7,634.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,009.08 : 13,811.82 = 5,532.74 : x
  2. Step 2: Convert to fraction form
    10,009.08/13,811.82 = 5,532.74/x
  3. Step 3: Cross multiply
    10,009.08x = 13,811.82 × 5,532.74
  4. Step 4: Simplify right side
    10,009.08x = 76,417,208.99
  5. Step 5: Solve for x
    x = 76,417,208.99/10,009.08
  6. Step 6: Final answer
    x = 7,634.79

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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.