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Finding the Fourth Proportional to 12,591.36, 17,376.30 and 7,002.36

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Solution

The fourth proportional to 12,591.36, 17,376.30 and 7,002.36 is: 9,663.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,591.36 : 17,376.30 = 7,002.36 : x
  2. Step 2: Convert to fraction form
    12,591.36/17,376.30 = 7,002.36/x
  3. Step 3: Cross multiply
    12,591.36x = 17,376.30 × 7,002.36
  4. Step 4: Simplify right side
    12,591.36x = 121,675,108.07
  5. Step 5: Solve for x
    x = 121,675,108.07/12,591.36
  6. Step 6: Final answer
    x = 9,663.38

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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.