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Finding the Fourth Proportional to 12,593.12, 17,378.28 and 7,004

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Solution

The fourth proportional to 12,593.12, 17,378.28 and 7,004 is: 9,665.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,593.12 : 17,378.28 = 7,004 : x
  2. Step 2: Convert to fraction form
    12,593.12/17,378.28 = 7,004/x
  3. Step 3: Cross multiply
    12,593.12x = 17,378.28 × 7,004
  4. Step 4: Simplify right side
    12,593.12x = 121,717,473.12
  5. Step 5: Solve for x
    x = 121,717,473.12/12,593.12
  6. Step 6: Final answer
    x = 9,665.39

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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.