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Finding the Fourth Proportional to 8,210.04, 12,314.98 and 2,054.04

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Solution

The fourth proportional to 8,210.04, 12,314.98 and 2,054.04 is: 3,081.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,210.04 : 12,314.98 = 2,054.04 : x
  2. Step 2: Convert to fraction form
    8,210.04/12,314.98 = 2,054.04/x
  3. Step 3: Cross multiply
    8,210.04x = 12,314.98 × 2,054.04
  4. Step 4: Simplify right side
    8,210.04x = 25,295,461.52
  5. Step 5: Solve for x
    x = 25,295,461.52/8,210.04
  6. Step 6: Final answer
    x = 3,081.04

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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.