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Finding the Fourth Proportional to 8,174.11, 12,259.14 and 2,330.77

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Solution

The fourth proportional to 8,174.11, 12,259.14 and 2,330.77 is: 3,495.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,174.11 : 12,259.14 = 2,330.77 : x
  2. Step 2: Convert to fraction form
    8,174.11/12,259.14 = 2,330.77/x
  3. Step 3: Cross multiply
    8,174.11x = 12,259.14 × 2,330.77
  4. Step 4: Simplify right side
    8,174.11x = 28,573,235.74
  5. Step 5: Solve for x
    x = 28,573,235.74/8,174.11
  6. Step 6: Final answer
    x = 3,495.58

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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.