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Finding the Fourth Proportional to 7,698.22, 11,565.82 and 4,930.26

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Solution

The fourth proportional to 7,698.22, 11,565.82 and 4,930.26 is: 7,407.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,698.22 : 11,565.82 = 4,930.26 : x
  2. Step 2: Convert to fraction form
    7,698.22/11,565.82 = 4,930.26/x
  3. Step 3: Cross multiply
    7,698.22x = 11,565.82 × 4,930.26
  4. Step 4: Simplify right side
    7,698.22x = 57,022,499.71
  5. Step 5: Solve for x
    x = 57,022,499.71/7,698.22
  6. Step 6: Final answer
    x = 7,407.23

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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.