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Finding the Fourth Proportional to 7,006.68, 9,669.92 and 5,235.21

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Solution

The fourth proportional to 7,006.68, 9,669.92 and 5,235.21 is: 7,225.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,006.68 : 9,669.92 = 5,235.21 : x
  2. Step 2: Convert to fraction form
    7,006.68/9,669.92 = 5,235.21/x
  3. Step 3: Cross multiply
    7,006.68x = 9,669.92 × 5,235.21
  4. Step 4: Simplify right side
    7,006.68x = 50,624,035.71
  5. Step 5: Solve for x
    x = 50,624,035.71/7,006.68
  6. Step 6: Final answer
    x = 7,225.11

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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.