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Finding the Fourth Proportional to 8,895.82, 13,342 and 4,150.66

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Solution

The fourth proportional to 8,895.82, 13,342 and 4,150.66 is: 6,225.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,895.82 : 13,342 = 4,150.66 : x
  2. Step 2: Convert to fraction form
    8,895.82/13,342 = 4,150.66/x
  3. Step 3: Cross multiply
    8,895.82x = 13,342 × 4,150.66
  4. Step 4: Simplify right side
    8,895.82x = 55,378,105.72
  5. Step 5: Solve for x
    x = 55,378,105.72/8,895.82
  6. Step 6: Final answer
    x = 6,225.18

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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.