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Finding the Fourth Proportional to 12,357.45, 17,053.38 and 6,906.53

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Solution

The fourth proportional to 12,357.45, 17,053.38 and 6,906.53 is: 9,531.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,357.45 : 17,053.38 = 6,906.53 : x
  2. Step 2: Convert to fraction form
    12,357.45/17,053.38 = 6,906.53/x
  3. Step 3: Cross multiply
    12,357.45x = 17,053.38 × 6,906.53
  4. Step 4: Simplify right side
    12,357.45x = 117,779,723.20
  5. Step 5: Solve for x
    x = 117,779,723.20/12,357.45
  6. Step 6: Final answer
    x = 9,531.07

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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.