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Finding the Fourth Proportional to 10,005.28, 13,808.10 and 5,530.12

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Solution

The fourth proportional to 10,005.28, 13,808.10 and 5,530.12 is: 7,632.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,005.28 : 13,808.10 = 5,530.12 : x
  2. Step 2: Convert to fraction form
    10,005.28/13,808.10 = 5,530.12/x
  3. Step 3: Cross multiply
    10,005.28x = 13,808.10 × 5,530.12
  4. Step 4: Simplify right side
    10,005.28x = 76,360,449.97
  5. Step 5: Solve for x
    x = 76,360,449.97/10,005.28
  6. Step 6: Final answer
    x = 7,632.02

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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.