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Finding the Fourth Proportional to 7,593.51, 10,478.79 and 4,449.63

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Solution

The fourth proportional to 7,593.51, 10,478.79 and 4,449.63 is: 6,140.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,593.51 : 10,478.79 = 4,449.63 : x
  2. Step 2: Convert to fraction form
    7,593.51/10,478.79 = 4,449.63/x
  3. Step 3: Cross multiply
    7,593.51x = 10,478.79 × 4,449.63
  4. Step 4: Simplify right side
    7,593.51x = 46,626,738.35
  5. Step 5: Solve for x
    x = 46,626,738.35/7,593.51
  6. Step 6: Final answer
    x = 6,140.34

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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.