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Finding the Fourth Proportional to 7,010.83, 10,516.12 and 2,083.80

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Solution

The fourth proportional to 7,010.83, 10,516.12 and 2,083.80 is: 3,125.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,010.83 : 10,516.12 = 2,083.80 : x
  2. Step 2: Convert to fraction form
    7,010.83/10,516.12 = 2,083.80/x
  3. Step 3: Cross multiply
    7,010.83x = 10,516.12 × 2,083.80
  4. Step 4: Simplify right side
    7,010.83x = 21,913,490.86
  5. Step 5: Solve for x
    x = 21,913,490.86/7,010.83
  6. Step 6: Final answer
    x = 3,125.66

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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.