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Finding the Fourth Proportional to 7,646.46, 11,456.40 and 4,138.88

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Solution

The fourth proportional to 7,646.46, 11,456.40 and 4,138.88 is: 6,201.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,646.46 : 11,456.40 = 4,138.88 : x
  2. Step 2: Convert to fraction form
    7,646.46/11,456.40 = 4,138.88/x
  3. Step 3: Cross multiply
    7,646.46x = 11,456.40 × 4,138.88
  4. Step 4: Simplify right side
    7,646.46x = 47,416,607.55
  5. Step 5: Solve for x
    x = 47,416,607.55/7,646.46
  6. Step 6: Final answer
    x = 6,201.12

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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.