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Finding the Fourth Proportional to 7,730.52, 10,668.12 and 4,193.76

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Solution

The fourth proportional to 7,730.52, 10,668.12 and 4,193.76 is: 5,787.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,730.52 : 10,668.12 = 4,193.76 : x
  2. Step 2: Convert to fraction form
    7,730.52/10,668.12 = 4,193.76/x
  3. Step 3: Cross multiply
    7,730.52x = 10,668.12 × 4,193.76
  4. Step 4: Simplify right side
    7,730.52x = 44,739,534.93
  5. Step 5: Solve for x
    x = 44,739,534.93/7,730.52
  6. Step 6: Final answer
    x = 5,787.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.