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Finding the Fourth Proportional to 12,730.46, 19,092 and 5,334.71

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Solution

The fourth proportional to 12,730.46, 19,092 and 5,334.71 is: 8,000.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,730.46 : 19,092 = 5,334.71 : x
  2. Step 2: Convert to fraction form
    12,730.46/19,092 = 5,334.71/x
  3. Step 3: Cross multiply
    12,730.46x = 19,092 × 5,334.71
  4. Step 4: Simplify right side
    12,730.46x = 101,850,283.32
  5. Step 5: Solve for x
    x = 101,850,283.32/12,730.46
  6. Step 6: Final answer
    x = 8,000.52

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Why These Related Problems?

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