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Finding the Fourth Proportional to 6,508.15, 8,972.32 and 4,116.93

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Solution

The fourth proportional to 6,508.15, 8,972.32 and 4,116.93 is: 5,675.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,508.15 : 8,972.32 = 4,116.93 : x
  2. Step 2: Convert to fraction form
    6,508.15/8,972.32 = 4,116.93/x
  3. Step 3: Cross multiply
    6,508.15x = 8,972.32 × 4,116.93
  4. Step 4: Simplify right side
    6,508.15x = 36,938,377.16
  5. Step 5: Solve for x
    x = 36,938,377.16/6,508.15
  6. Step 6: Final answer
    x = 5,675.71

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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.