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Finding the Fourth Proportional to 8,065.74, 12,097.53 and 3,134.91

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Solution

The fourth proportional to 8,065.74, 12,097.53 and 3,134.91 is: 4,701.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,065.74 : 12,097.53 = 3,134.91 : x
  2. Step 2: Convert to fraction form
    8,065.74/12,097.53 = 3,134.91/x
  3. Step 3: Cross multiply
    8,065.74x = 12,097.53 × 3,134.91
  4. Step 4: Simplify right side
    8,065.74x = 37,924,667.77
  5. Step 5: Solve for x
    x = 37,924,667.77/8,065.74
  6. Step 6: Final answer
    x = 4,701.95

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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.