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Finding the Fourth Proportional to 6,177.98, 8,538.95 and 5,464.78

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Solution

The fourth proportional to 6,177.98, 8,538.95 and 5,464.78 is: 7,553.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,177.98 : 8,538.95 = 5,464.78 : x
  2. Step 2: Convert to fraction form
    6,177.98/8,538.95 = 5,464.78/x
  3. Step 3: Cross multiply
    6,177.98x = 8,538.95 × 5,464.78
  4. Step 4: Simplify right side
    6,177.98x = 46,663,483.18
  5. Step 5: Solve for x
    x = 46,663,483.18/6,177.98
  6. Step 6: Final answer
    x = 7,553.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.