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Finding the Fourth Proportional to 12,992.40, 17,926.38 and 7,688.52

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Solution

The fourth proportional to 12,992.40, 17,926.38 and 7,688.52 is: 10,608.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,992.40 : 17,926.38 = 7,688.52 : x
  2. Step 2: Convert to fraction form
    12,992.40/17,926.38 = 7,688.52/x
  3. Step 3: Cross multiply
    12,992.40x = 17,926.38 × 7,688.52
  4. Step 4: Simplify right side
    12,992.40x = 137,827,331.16
  5. Step 5: Solve for x
    x = 137,827,331.16/12,992.40
  6. Step 6: Final answer
    x = 10,608.30

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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.