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Finding the Fourth Proportional to 27,771.39, 41,657.03 and 6,994.89

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Solution

The fourth proportional to 27,771.39, 41,657.03 and 6,994.89 is: 10,492.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,771.39 : 41,657.03 = 6,994.89 : x
  2. Step 2: Convert to fraction form
    27,771.39/41,657.03 = 6,994.89/x
  3. Step 3: Cross multiply
    27,771.39x = 41,657.03 × 6,994.89
  4. Step 4: Simplify right side
    27,771.39x = 291,386,342.58
  5. Step 5: Solve for x
    x = 291,386,342.58/27,771.39
  6. Step 6: Final answer
    x = 10,492.32

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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.