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Finding the Fourth Proportional to 10,474.99, 15,708.38 and 3,897.58

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Solution

The fourth proportional to 10,474.99, 15,708.38 and 3,897.58 is: 5,844.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,474.99 : 15,708.38 = 3,897.58 : x
  2. Step 2: Convert to fraction form
    10,474.99/15,708.38 = 3,897.58/x
  3. Step 3: Cross multiply
    10,474.99x = 15,708.38 × 3,897.58
  4. Step 4: Simplify right side
    10,474.99x = 61,224,667.72
  5. Step 5: Solve for x
    x = 61,224,667.72/10,474.99
  6. Step 6: Final answer
    x = 5,844.84

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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.