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Finding the Fourth Proportional to 12,399.52, 17,111.10 and 6,810.52

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Solution

The fourth proportional to 12,399.52, 17,111.10 and 6,810.52 is: 9,398.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,399.52 : 17,111.10 = 6,810.52 : x
  2. Step 2: Convert to fraction form
    12,399.52/17,111.10 = 6,810.52/x
  3. Step 3: Cross multiply
    12,399.52x = 17,111.10 × 6,810.52
  4. Step 4: Simplify right side
    12,399.52x = 116,535,488.77
  5. Step 5: Solve for x
    x = 116,535,488.77/12,399.52
  6. Step 6: Final answer
    x = 9,398.39

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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.