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Finding the Fourth Proportional to 10,390.14, 15,572.88 and 5,998.50

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Solution

The fourth proportional to 10,390.14, 15,572.88 and 5,998.50 is: 8,990.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,390.14 : 15,572.88 = 5,998.50 : x
  2. Step 2: Convert to fraction form
    10,390.14/15,572.88 = 5,998.50/x
  3. Step 3: Cross multiply
    10,390.14x = 15,572.88 × 5,998.50
  4. Step 4: Simplify right side
    10,390.14x = 93,413,920.68
  5. Step 5: Solve for x
    x = 93,413,920.68/10,390.14
  6. Step 6: Final answer
    x = 8,990.63

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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.