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Finding the Fourth Proportional to 13,092.52, 19,644 and 4,773.10

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Solution

The fourth proportional to 13,092.52, 19,644 and 4,773.10 is: 7,161.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,092.52 : 19,644 = 4,773.10 : x
  2. Step 2: Convert to fraction form
    13,092.52/19,644 = 4,773.10/x
  3. Step 3: Cross multiply
    13,092.52x = 19,644 × 4,773.10
  4. Step 4: Simplify right side
    13,092.52x = 93,762,776.40
  5. Step 5: Solve for x
    x = 93,762,776.40/13,092.52
  6. Step 6: Final answer
    x = 7,161.55

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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.