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Finding the Fourth Proportional to 10,096.99, 15,146.88 and 3,522.22

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Solution

The fourth proportional to 10,096.99, 15,146.88 and 3,522.22 is: 5,283.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,096.99 : 15,146.88 = 3,522.22 : x
  2. Step 2: Convert to fraction form
    10,096.99/15,146.88 = 3,522.22/x
  3. Step 3: Cross multiply
    10,096.99x = 15,146.88 × 3,522.22
  4. Step 4: Simplify right side
    10,096.99x = 53,350,643.67
  5. Step 5: Solve for x
    x = 53,350,643.67/10,096.99
  6. Step 6: Final answer
    x = 5,283.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.