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Finding the Fourth Proportional to 10,004.29, 15,006.42 and 3,078.79

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Solution

The fourth proportional to 10,004.29, 15,006.42 and 3,078.79 is: 4,618.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,004.29 : 15,006.42 = 3,078.79 : x
  2. Step 2: Convert to fraction form
    10,004.29/15,006.42 = 3,078.79/x
  3. Step 3: Cross multiply
    10,004.29x = 15,006.42 × 3,078.79
  4. Step 4: Simplify right side
    10,004.29x = 46,201,615.83
  5. Step 5: Solve for x
    x = 46,201,615.83/10,004.29
  6. Step 6: Final answer
    x = 4,618.18

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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.