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Finding the Fourth Proportional to 8,229.02, 11,328.62 and 7,852.40

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Solution

The fourth proportional to 8,229.02, 11,328.62 and 7,852.40 is: 10,810.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,229.02 : 11,328.62 = 7,852.40 : x
  2. Step 2: Convert to fraction form
    8,229.02/11,328.62 = 7,852.40/x
  3. Step 3: Cross multiply
    8,229.02x = 11,328.62 × 7,852.40
  4. Step 4: Simplify right side
    8,229.02x = 88,956,855.69
  5. Step 5: Solve for x
    x = 88,956,855.69/8,229.02
  6. Step 6: Final answer
    x = 10,810.14

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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.