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Finding the Fourth Proportional to 10,897.61, 15,036.38 and 6,419.73

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Solution

The fourth proportional to 10,897.61, 15,036.38 and 6,419.73 is: 8,857.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,897.61 : 15,036.38 = 6,419.73 : x
  2. Step 2: Convert to fraction form
    10,897.61/15,036.38 = 6,419.73/x
  3. Step 3: Cross multiply
    10,897.61x = 15,036.38 × 6,419.73
  4. Step 4: Simplify right side
    10,897.61x = 96,529,424.60
  5. Step 5: Solve for x
    x = 96,529,424.60/10,897.61
  6. Step 6: Final answer
    x = 8,857.85

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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.