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Finding the Fourth Proportional to 12,708.20, 19,062.16 and 5,210.09

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Solution

The fourth proportional to 12,708.20, 19,062.16 and 5,210.09 is: 7,815.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,708.20 : 19,062.16 = 5,210.09 : x
  2. Step 2: Convert to fraction form
    12,708.20/19,062.16 = 5,210.09/x
  3. Step 3: Cross multiply
    12,708.20x = 19,062.16 × 5,210.09
  4. Step 4: Simplify right side
    12,708.20x = 99,315,551.88
  5. Step 5: Solve for x
    x = 99,315,551.88/12,708.20
  6. Step 6: Final answer
    x = 7,815.07

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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.