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Finding the Fourth Proportional to 7,656.34, 11,484.52 and 2,462.22

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Solution

The fourth proportional to 7,656.34, 11,484.52 and 2,462.22 is: 3,693.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,656.34 : 11,484.52 = 2,462.22 : x
  2. Step 2: Convert to fraction form
    7,656.34/11,484.52 = 2,462.22/x
  3. Step 3: Cross multiply
    7,656.34x = 11,484.52 × 2,462.22
  4. Step 4: Simplify right side
    7,656.34x = 28,277,414.83
  5. Step 5: Solve for x
    x = 28,277,414.83/7,656.34
  6. Step 6: Final answer
    x = 3,693.33

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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.