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Finding the Fourth Proportional to 10,870.16, 16,305.23 and 3,078.97

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Solution

The fourth proportional to 10,870.16, 16,305.23 and 3,078.97 is: 4,618.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,870.16 : 16,305.23 = 3,078.97 : x
  2. Step 2: Convert to fraction form
    10,870.16/16,305.23 = 3,078.97/x
  3. Step 3: Cross multiply
    10,870.16x = 16,305.23 × 3,078.97
  4. Step 4: Simplify right side
    10,870.16x = 50,203,314.01
  5. Step 5: Solve for x
    x = 50,203,314.01/10,870.16
  6. Step 6: Final answer
    x = 4,618.45

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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.