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Finding the Fourth Proportional to 10,004.28, 15,008 and 3,078.76

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Solution

The fourth proportional to 10,004.28, 15,008 and 3,078.76 is: 4,618.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,004.28 : 15,008 = 3,078.76 : x
  2. Step 2: Convert to fraction form
    10,004.28/15,008 = 3,078.76/x
  3. Step 3: Cross multiply
    10,004.28x = 15,008 × 3,078.76
  4. Step 4: Simplify right side
    10,004.28x = 46,206,030.08
  5. Step 5: Solve for x
    x = 46,206,030.08/10,004.28
  6. Step 6: Final answer
    x = 4,618.63

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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.