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Finding the Fourth Proportional to 7,857.84, 11,791.35 and 2,930.88

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Solution

The fourth proportional to 7,857.84, 11,791.35 and 2,930.88 is: 4,398.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857.84 : 11,791.35 = 2,930.88 : x
  2. Step 2: Convert to fraction form
    7,857.84/11,791.35 = 2,930.88/x
  3. Step 3: Cross multiply
    7,857.84x = 11,791.35 × 2,930.88
  4. Step 4: Simplify right side
    7,857.84x = 34,559,031.89
  5. Step 5: Solve for x
    x = 34,559,031.89/7,857.84
  6. Step 6: Final answer
    x = 4,398.03

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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.