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Finding the Fourth Proportional to 10,001.46, 13,802.17 and 5,525.21

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Solution

The fourth proportional to 10,001.46, 13,802.17 and 5,525.21 is: 7,624.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,001.46 : 13,802.17 = 5,525.21 : x
  2. Step 2: Convert to fraction form
    10,001.46/13,802.17 = 5,525.21/x
  3. Step 3: Cross multiply
    10,001.46x = 13,802.17 × 5,525.21
  4. Step 4: Simplify right side
    10,001.46x = 76,259,934.30
  5. Step 5: Solve for x
    x = 76,259,934.30/10,001.46
  6. Step 6: Final answer
    x = 7,624.88

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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.