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Finding the Fourth Proportional to 7,011.94, 9,683.68 and 5,821.24

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Solution

The fourth proportional to 7,011.94, 9,683.68 and 5,821.24 is: 8,039.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,011.94 : 9,683.68 = 5,821.24 : x
  2. Step 2: Convert to fraction form
    7,011.94/9,683.68 = 5,821.24/x
  3. Step 3: Cross multiply
    7,011.94x = 9,683.68 × 5,821.24
  4. Step 4: Simplify right side
    7,011.94x = 56,371,025.36
  5. Step 5: Solve for x
    x = 56,371,025.36/7,011.94
  6. Step 6: Final answer
    x = 8,039.29

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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.