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Finding the Fourth Proportional to 7,841.07, 11,767.68 and 4,089.15

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Solution

The fourth proportional to 7,841.07, 11,767.68 and 4,089.15 is: 6,136.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,841.07 : 11,767.68 = 4,089.15 : x
  2. Step 2: Convert to fraction form
    7,841.07/11,767.68 = 4,089.15/x
  3. Step 3: Cross multiply
    7,841.07x = 11,767.68 × 4,089.15
  4. Step 4: Simplify right side
    7,841.07x = 48,119,808.67
  5. Step 5: Solve for x
    x = 48,119,808.67/7,841.07
  6. Step 6: Final answer
    x = 6,136.89

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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.