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Finding the Fourth Proportional to 10,476.44, 15,713.37 and 2,980.16

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Solution

The fourth proportional to 10,476.44, 15,713.37 and 2,980.16 is: 4,469.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,476.44 : 15,713.37 = 2,980.16 : x
  2. Step 2: Convert to fraction form
    10,476.44/15,713.37 = 2,980.16/x
  3. Step 3: Cross multiply
    10,476.44x = 15,713.37 × 2,980.16
  4. Step 4: Simplify right side
    10,476.44x = 46,828,278.17
  5. Step 5: Solve for x
    x = 46,828,278.17/10,476.44
  6. Step 6: Final answer
    x = 4,469.87

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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.