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Finding the Fourth Proportional to 8,222.81, 11,340.02 and 7,032.26

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Solution

The fourth proportional to 8,222.81, 11,340.02 and 7,032.26 is: 9,698.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,222.81 : 11,340.02 = 7,032.26 : x
  2. Step 2: Convert to fraction form
    8,222.81/11,340.02 = 7,032.26/x
  3. Step 3: Cross multiply
    8,222.81x = 11,340.02 × 7,032.26
  4. Step 4: Simplify right side
    8,222.81x = 79,746,014.98
  5. Step 5: Solve for x
    x = 79,746,014.98/8,222.81
  6. Step 6: Final answer
    x = 9,698.15

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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.