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Finding the Fourth Proportional to 10,467.52, 15,667.10 and 7,693.46

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Solution

The fourth proportional to 10,467.52, 15,667.10 and 7,693.46 is: 11,515.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,467.52 : 15,667.10 = 7,693.46 : x
  2. Step 2: Convert to fraction form
    10,467.52/15,667.10 = 7,693.46/x
  3. Step 3: Cross multiply
    10,467.52x = 15,667.10 × 7,693.46
  4. Step 4: Simplify right side
    10,467.52x = 120,534,207.17
  5. Step 5: Solve for x
    x = 120,534,207.17/10,467.52
  6. Step 6: Final answer
    x = 11,515.07

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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.