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Finding the Fourth Proportional to 8,109.75, 12,084.00 and 7,225.45

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Solution

The fourth proportional to 8,109.75, 12,084.00 and 7,225.45 is: 10,766.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,109.75 : 12,084.00 = 7,225.45 : x
  2. Step 2: Convert to fraction form
    8,109.75/12,084.00 = 7,225.45/x
  3. Step 3: Cross multiply
    8,109.75x = 12,084.00 × 7,225.45
  4. Step 4: Simplify right side
    8,109.75x = 87,312,389.11
  5. Step 5: Solve for x
    x = 87,312,389.11/8,109.75
  6. Step 6: Final answer
    x = 10,766.35

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.