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Finding the Fourth Proportional to 6,099.98, 8,411.82 and 4,977.32

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Solution

The fourth proportional to 6,099.98, 8,411.82 and 4,977.32 is: 6,863.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,099.98 : 8,411.82 = 4,977.32 : x
  2. Step 2: Convert to fraction form
    6,099.98/8,411.82 = 4,977.32/x
  3. Step 3: Cross multiply
    6,099.98x = 8,411.82 × 4,977.32
  4. Step 4: Simplify right side
    6,099.98x = 41,868,319.92
  5. Step 5: Solve for x
    x = 41,868,319.92/6,099.98
  6. Step 6: Final answer
    x = 6,863.68

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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.