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Finding the Fourth Proportional to 7,122.66, 10,684.02 and 1,928.55

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Solution

The fourth proportional to 7,122.66, 10,684.02 and 1,928.55 is: 2,892.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,122.66 : 10,684.02 = 1,928.55 : x
  2. Step 2: Convert to fraction form
    7,122.66/10,684.02 = 1,928.55/x
  3. Step 3: Cross multiply
    7,122.66x = 10,684.02 × 1,928.55
  4. Step 4: Simplify right side
    7,122.66x = 20,604,666.77
  5. Step 5: Solve for x
    x = 20,604,666.77/7,122.66
  6. Step 6: Final answer
    x = 2,892.83

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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.