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Finding the Fourth Proportional to 7,646.22, 11,450.86 and 4,349.32

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Solution

The fourth proportional to 7,646.22, 11,450.86 and 4,349.32 is: 6,513.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,646.22 : 11,450.86 = 4,349.32 : x
  2. Step 2: Convert to fraction form
    7,646.22/11,450.86 = 4,349.32/x
  3. Step 3: Cross multiply
    7,646.22x = 11,450.86 × 4,349.32
  4. Step 4: Simplify right side
    7,646.22x = 49,803,414.91
  5. Step 5: Solve for x
    x = 49,803,414.91/7,646.22
  6. Step 6: Final answer
    x = 6,513.47

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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.