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Finding the Fourth Proportional to 10,019.08, 15,007.83 and 5,078.32

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Solution

The fourth proportional to 10,019.08, 15,007.83 and 5,078.32 is: 7,606.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,019.08 : 15,007.83 = 5,078.32 : x
  2. Step 2: Convert to fraction form
    10,019.08/15,007.83 = 5,078.32/x
  3. Step 3: Cross multiply
    10,019.08x = 15,007.83 × 5,078.32
  4. Step 4: Simplify right side
    10,019.08x = 76,214,577.46
  5. Step 5: Solve for x
    x = 76,214,577.46/10,019.08
  6. Step 6: Final answer
    x = 7,606.94

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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.