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Finding the Fourth Proportional to 10,149.06, 15,201.72 and 4,944

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Solution

The fourth proportional to 10,149.06, 15,201.72 and 4,944 is: 7,405.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,149.06 : 15,201.72 = 4,944 : x
  2. Step 2: Convert to fraction form
    10,149.06/15,201.72 = 4,944/x
  3. Step 3: Cross multiply
    10,149.06x = 15,201.72 × 4,944
  4. Step 4: Simplify right side
    10,149.06x = 75,157,303.68
  5. Step 5: Solve for x
    x = 75,157,303.68/10,149.06
  6. Step 6: Final answer
    x = 7,405.35

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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.