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Finding the Fourth Proportional to 10,476.36, 15,716.86 and 3,080.86

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Solution

The fourth proportional to 10,476.36, 15,716.86 and 3,080.86 is: 4,621.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,476.36 : 15,716.86 = 3,080.86 : x
  2. Step 2: Convert to fraction form
    10,476.36/15,716.86 = 3,080.86/x
  3. Step 3: Cross multiply
    10,476.36x = 15,716.86 × 3,080.86
  4. Step 4: Simplify right side
    10,476.36x = 48,421,445.30
  5. Step 5: Solve for x
    x = 48,421,445.30/10,476.36
  6. Step 6: Final answer
    x = 4,621.97

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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.