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Finding the Fourth Proportional to 7,698.29, 11,567.93 and 4,190.87

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Solution

The fourth proportional to 7,698.29, 11,567.93 and 4,190.87 is: 6,297.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,698.29 : 11,567.93 = 4,190.87 : x
  2. Step 2: Convert to fraction form
    7,698.29/11,567.93 = 4,190.87/x
  3. Step 3: Cross multiply
    7,698.29x = 11,567.93 × 4,190.87
  4. Step 4: Simplify right side
    7,698.29x = 48,479,698.76
  5. Step 5: Solve for x
    x = 48,479,698.76/7,698.29
  6. Step 6: Final answer
    x = 6,297.47

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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.