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Finding the Fourth Proportional to 10,150.30, 15,208.98 and 5,213.08

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Solution

The fourth proportional to 10,150.30, 15,208.98 and 5,213.08 is: 7,811.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,150.30 : 15,208.98 = 5,213.08 : x
  2. Step 2: Convert to fraction form
    10,150.30/15,208.98 = 5,213.08/x
  3. Step 3: Cross multiply
    10,150.30x = 15,208.98 × 5,213.08
  4. Step 4: Simplify right side
    10,150.30x = 79,285,629.46
  5. Step 5: Solve for x
    x = 79,285,629.46/10,150.30
  6. Step 6: Final answer
    x = 7,811.16

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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.