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Finding the Fourth Proportional to 8,114.63, 12,166.71 and 3,184.77

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Solution

The fourth proportional to 8,114.63, 12,166.71 and 3,184.77 is: 4,775.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,114.63 : 12,166.71 = 3,184.77 : x
  2. Step 2: Convert to fraction form
    8,114.63/12,166.71 = 3,184.77/x
  3. Step 3: Cross multiply
    8,114.63x = 12,166.71 × 3,184.77
  4. Step 4: Simplify right side
    8,114.63x = 38,748,173.01
  5. Step 5: Solve for x
    x = 38,748,173.01/8,114.63
  6. Step 6: Final answer
    x = 4,775.10

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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.