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Finding the Fourth Proportional to 12,509.34, 17,263.94 and 7,133.40

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Solution

The fourth proportional to 12,509.34, 17,263.94 and 7,133.40 is: 9,844.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,509.34 : 17,263.94 = 7,133.40 : x
  2. Step 2: Convert to fraction form
    12,509.34/17,263.94 = 7,133.40/x
  3. Step 3: Cross multiply
    12,509.34x = 17,263.94 × 7,133.40
  4. Step 4: Simplify right side
    12,509.34x = 123,150,553.93
  5. Step 5: Solve for x
    x = 123,150,553.93/12,509.34
  6. Step 6: Final answer
    x = 9,844.69

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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.