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Finding the Fourth Proportional to 11,897.30, 16,415.25 and 7,420.70

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Solution

The fourth proportional to 11,897.30, 16,415.25 and 7,420.70 is: 10,238.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,897.30 : 16,415.25 = 7,420.70 : x
  2. Step 2: Convert to fraction form
    11,897.30/16,415.25 = 7,420.70/x
  3. Step 3: Cross multiply
    11,897.30x = 16,415.25 × 7,420.70
  4. Step 4: Simplify right side
    11,897.30x = 121,812,645.68
  5. Step 5: Solve for x
    x = 121,812,645.68/11,897.30
  6. Step 6: Final answer
    x = 10,238.68

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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.