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Finding the Fourth Proportional to 7,235.34, 10,853.04 and 2,305

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Solution

The fourth proportional to 7,235.34, 10,853.04 and 2,305 is: 3,457.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,235.34 : 10,853.04 = 2,305 : x
  2. Step 2: Convert to fraction form
    7,235.34/10,853.04 = 2,305/x
  3. Step 3: Cross multiply
    7,235.34x = 10,853.04 × 2,305
  4. Step 4: Simplify right side
    7,235.34x = 25,016,257.20
  5. Step 5: Solve for x
    x = 25,016,257.20/7,235.34
  6. Step 6: Final answer
    x = 3,457.51

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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.