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Finding the Fourth Proportional to 8,308.17, 12,461.04 and 3,114.05

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Solution

The fourth proportional to 8,308.17, 12,461.04 and 3,114.05 is: 4,670.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,308.17 : 12,461.04 = 3,114.05 : x
  2. Step 2: Convert to fraction form
    8,308.17/12,461.04 = 3,114.05/x
  3. Step 3: Cross multiply
    8,308.17x = 12,461.04 × 3,114.05
  4. Step 4: Simplify right side
    8,308.17x = 38,804,239.31
  5. Step 5: Solve for x
    x = 38,804,239.31/8,308.17
  6. Step 6: Final answer
    x = 4,670.61

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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.