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Finding the Fourth Proportional to 8,210.07, 12,319.97 and 3,019.59

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Solution

The fourth proportional to 8,210.07, 12,319.97 and 3,019.59 is: 4,531.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,210.07 : 12,319.97 = 3,019.59 : x
  2. Step 2: Convert to fraction form
    8,210.07/12,319.97 = 3,019.59/x
  3. Step 3: Cross multiply
    8,210.07x = 12,319.97 × 3,019.59
  4. Step 4: Simplify right side
    8,210.07x = 37,201,243.11
  5. Step 5: Solve for x
    x = 37,201,243.11/8,210.07
  6. Step 6: Final answer
    x = 4,531.17

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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.