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Finding the Fourth Proportional to 10,199.70, 15,296.13 and 3,624.93

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Solution

The fourth proportional to 10,199.70, 15,296.13 and 3,624.93 is: 5,436.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,199.70 : 15,296.13 = 3,624.93 : x
  2. Step 2: Convert to fraction form
    10,199.70/15,296.13 = 3,624.93/x
  3. Step 3: Cross multiply
    10,199.70x = 15,296.13 × 3,624.93
  4. Step 4: Simplify right side
    10,199.70x = 55,447,400.52
  5. Step 5: Solve for x
    x = 55,447,400.52/10,199.70
  6. Step 6: Final answer
    x = 5,436.18

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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.