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Finding the Fourth Proportional to 7,800.57, 11,700.86 and 3,122.69

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Solution

The fourth proportional to 7,800.57, 11,700.86 and 3,122.69 is: 4,684.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,800.57 : 11,700.86 = 3,122.69 : x
  2. Step 2: Convert to fraction form
    7,800.57/11,700.86 = 3,122.69/x
  3. Step 3: Cross multiply
    7,800.57x = 11,700.86 × 3,122.69
  4. Step 4: Simplify right side
    7,800.57x = 36,538,084.40
  5. Step 5: Solve for x
    x = 36,538,084.40/7,800.57
  6. Step 6: Final answer
    x = 4,684.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.