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Finding the Fourth Proportional to 7,730.66, 10,668.34 and 4,193.88

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Solution

The fourth proportional to 7,730.66, 10,668.34 and 4,193.88 is: 5,787.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,730.66 : 10,668.34 = 4,193.88 : x
  2. Step 2: Convert to fraction form
    7,730.66/10,668.34 = 4,193.88/x
  3. Step 3: Cross multiply
    7,730.66x = 10,668.34 × 4,193.88
  4. Step 4: Simplify right side
    7,730.66x = 44,741,737.76
  5. Step 5: Solve for x
    x = 44,741,737.76/7,730.66
  6. Step 6: Final answer
    x = 5,787.57

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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.