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Finding the Fourth Proportional to 5,116.55, 7,663.49 and 4,138.07

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Solution

The fourth proportional to 5,116.55, 7,663.49 and 4,138.07 is: 6,197.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,116.55 : 7,663.49 = 4,138.07 : x
  2. Step 2: Convert to fraction form
    5,116.55/7,663.49 = 4,138.07/x
  3. Step 3: Cross multiply
    5,116.55x = 7,663.49 × 4,138.07
  4. Step 4: Simplify right side
    5,116.55x = 31,712,037.37
  5. Step 5: Solve for x
    x = 31,712,037.37/5,116.55
  6. Step 6: Final answer
    x = 6,197.93

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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.