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Finding the Fourth Proportional to 6,916.86, 10,376.82 and 1,986.12

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Solution

The fourth proportional to 6,916.86, 10,376.82 and 1,986.12 is: 2,979.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,916.86 : 10,376.82 = 1,986.12 : x
  2. Step 2: Convert to fraction form
    6,916.86/10,376.82 = 1,986.12/x
  3. Step 3: Cross multiply
    6,916.86x = 10,376.82 × 1,986.12
  4. Step 4: Simplify right side
    6,916.86x = 20,609,547.92
  5. Step 5: Solve for x
    x = 20,609,547.92/6,916.86
  6. Step 6: Final answer
    x = 2,979.61

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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.