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Finding the Fourth Proportional to 10,476.56, 15,714.74 and 3,813.03

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Solution

The fourth proportional to 10,476.56, 15,714.74 and 3,813.03 is: 5,719.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,476.56 : 15,714.74 = 3,813.03 : x
  2. Step 2: Convert to fraction form
    10,476.56/15,714.74 = 3,813.03/x
  3. Step 3: Cross multiply
    10,476.56x = 15,714.74 × 3,813.03
  4. Step 4: Simplify right side
    10,476.56x = 59,920,784.59
  5. Step 5: Solve for x
    x = 59,920,784.59/10,476.56
  6. Step 6: Final answer
    x = 5,719.51

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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.