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Finding the Fourth Proportional to 6,580.78, 9,860.91 and 4,108.12

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Solution

The fourth proportional to 6,580.78, 9,860.91 and 4,108.12 is: 6,155.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,580.78 : 9,860.91 = 4,108.12 : x
  2. Step 2: Convert to fraction form
    6,580.78/9,860.91 = 4,108.12/x
  3. Step 3: Cross multiply
    6,580.78x = 9,860.91 × 4,108.12
  4. Step 4: Simplify right side
    6,580.78x = 40,509,761.53
  5. Step 5: Solve for x
    x = 40,509,761.53/6,580.78
  6. Step 6: Final answer
    x = 6,155.77

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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.