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Finding the Fourth Proportional to 7,234.80, 10,853 and 2,303.29

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Solution

The fourth proportional to 7,234.80, 10,853 and 2,303.29 is: 3,455.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,234.80 : 10,853 = 2,303.29 : x
  2. Step 2: Convert to fraction form
    7,234.80/10,853 = 2,303.29/x
  3. Step 3: Cross multiply
    7,234.80x = 10,853 × 2,303.29
  4. Step 4: Simplify right side
    7,234.80x = 24,997,606.37
  5. Step 5: Solve for x
    x = 24,997,606.37/7,234.80
  6. Step 6: Final answer
    x = 3,455.19

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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.