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Finding the Fourth Proportional to 7,006.92, 10,510.38 and 4,083.18

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Solution

The fourth proportional to 7,006.92, 10,510.38 and 4,083.18 is: 6,124.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,006.92 : 10,510.38 = 4,083.18 : x
  2. Step 2: Convert to fraction form
    7,006.92/10,510.38 = 4,083.18/x
  3. Step 3: Cross multiply
    7,006.92x = 10,510.38 × 4,083.18
  4. Step 4: Simplify right side
    7,006.92x = 42,915,773.41
  5. Step 5: Solve for x
    x = 42,915,773.41/7,006.92
  6. Step 6: Final answer
    x = 6,124.77

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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.