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Finding the Fourth Proportional to 10,477.19, 15,709.21 and 3,897.97

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Solution

The fourth proportional to 10,477.19, 15,709.21 and 3,897.97 is: 5,844.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,477.19 : 15,709.21 = 3,897.97 : x
  2. Step 2: Convert to fraction form
    10,477.19/15,709.21 = 3,897.97/x
  3. Step 3: Cross multiply
    10,477.19x = 15,709.21 × 3,897.97
  4. Step 4: Simplify right side
    10,477.19x = 61,234,029.30
  5. Step 5: Solve for x
    x = 61,234,029.30/10,477.19
  6. Step 6: Final answer
    x = 5,844.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.