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Finding the Fourth Proportional to 7,593.12, 10,478.64 and 4,236

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Solution

The fourth proportional to 7,593.12, 10,478.64 and 4,236 is: 5,845.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,593.12 : 10,478.64 = 4,236 : x
  2. Step 2: Convert to fraction form
    7,593.12/10,478.64 = 4,236/x
  3. Step 3: Cross multiply
    7,593.12x = 10,478.64 × 4,236
  4. Step 4: Simplify right side
    7,593.12x = 44,387,519.04
  5. Step 5: Solve for x
    x = 44,387,519.04/7,593.12
  6. Step 6: Final answer
    x = 5,845.75

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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.