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Finding the Fourth Proportional to 10,476.99, 15,711.38 and 3,899.58

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Solution

The fourth proportional to 10,476.99, 15,711.38 and 3,899.58 is: 5,847.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,476.99 : 15,711.38 = 3,899.58 : x
  2. Step 2: Convert to fraction form
    10,476.99/15,711.38 = 3,899.58/x
  3. Step 3: Cross multiply
    10,476.99x = 15,711.38 × 3,899.58
  4. Step 4: Simplify right side
    10,476.99x = 61,267,783.22
  5. Step 5: Solve for x
    x = 61,267,783.22/10,476.99
  6. Step 6: Final answer
    x = 5,847.84

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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.