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Finding the Fourth Proportional to 7,436.63, 10,259.73 and 4,747.95

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Solution

The fourth proportional to 7,436.63, 10,259.73 and 4,747.95 is: 6,550.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,436.63 : 10,259.73 = 4,747.95 : x
  2. Step 2: Convert to fraction form
    7,436.63/10,259.73 = 4,747.95/x
  3. Step 3: Cross multiply
    7,436.63x = 10,259.73 × 4,747.95
  4. Step 4: Simplify right side
    7,436.63x = 48,712,685.05
  5. Step 5: Solve for x
    x = 48,712,685.05/7,436.63
  6. Step 6: Final answer
    x = 6,550.38

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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.