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Finding the Fourth Proportional to 8,146.25, 12,220.43 and 2,303.00

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Solution

The fourth proportional to 8,146.25, 12,220.43 and 2,303.00 is: 3,454.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,146.25 : 12,220.43 = 2,303.00 : x
  2. Step 2: Convert to fraction form
    8,146.25/12,220.43 = 2,303.00/x
  3. Step 3: Cross multiply
    8,146.25x = 12,220.43 × 2,303.00
  4. Step 4: Simplify right side
    8,146.25x = 28,143,577.67
  5. Step 5: Solve for x
    x = 28,143,577.67/8,146.25
  6. Step 6: Final answer
    x = 3,454.79

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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.