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Finding the Fourth Proportional to 11,897.52, 17,846.52 and 6,703.24

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Solution

The fourth proportional to 11,897.52, 17,846.52 and 6,703.24 is: 10,055.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,897.52 : 17,846.52 = 6,703.24 : x
  2. Step 2: Convert to fraction form
    11,897.52/17,846.52 = 6,703.24/x
  3. Step 3: Cross multiply
    11,897.52x = 17,846.52 × 6,703.24
  4. Step 4: Simplify right side
    11,897.52x = 119,629,506.72
  5. Step 5: Solve for x
    x = 119,629,506.72/11,897.52
  6. Step 6: Final answer
    x = 10,055.00

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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.