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Finding the Fourth Proportional to 12,596.68, 18,869.10 and 7,390

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Solution

The fourth proportional to 12,596.68, 18,869.10 and 7,390 is: 11,069.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,596.68 : 18,869.10 = 7,390 : x
  2. Step 2: Convert to fraction form
    12,596.68/18,869.10 = 7,390/x
  3. Step 3: Cross multiply
    12,596.68x = 18,869.10 × 7,390
  4. Step 4: Simplify right side
    12,596.68x = 139,442,649
  5. Step 5: Solve for x
    x = 139,442,649/12,596.68
  6. Step 6: Final answer
    x = 11,069.79

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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.