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Finding the Fourth Proportional to 4,996, 7,511.10 and 4,586.14

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Solution

The fourth proportional to 4,996, 7,511.10 and 4,586.14 is: 6,894.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,996 : 7,511.10 = 4,586.14 : x
  2. Step 2: Convert to fraction form
    4,996/7,511.10 = 4,586.14/x
  3. Step 3: Cross multiply
    4,996x = 7,511.10 × 4,586.14
  4. Step 4: Simplify right side
    4,996x = 34,446,956.15
  5. Step 5: Solve for x
    x = 34,446,956.15/4,996
  6. Step 6: Final answer
    x = 6,894.91

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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.