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Finding the Fourth Proportional to 10,148.94, 15,201.78 and 4,876.20

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Solution

The fourth proportional to 10,148.94, 15,201.78 and 4,876.20 is: 7,303.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,148.94 : 15,201.78 = 4,876.20 : x
  2. Step 2: Convert to fraction form
    10,148.94/15,201.78 = 4,876.20/x
  3. Step 3: Cross multiply
    10,148.94x = 15,201.78 × 4,876.20
  4. Step 4: Simplify right side
    10,148.94x = 74,126,919.64
  5. Step 5: Solve for x
    x = 74,126,919.64/10,148.94
  6. Step 6: Final answer
    x = 7,303.91

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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.