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Finding the Fourth Proportional to 10,474.74, 15,710.40 and 3,078.36

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Solution

The fourth proportional to 10,474.74, 15,710.40 and 3,078.36 is: 4,617.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,474.74 : 15,710.40 = 3,078.36 : x
  2. Step 2: Convert to fraction form
    10,474.74/15,710.40 = 3,078.36/x
  3. Step 3: Cross multiply
    10,474.74x = 15,710.40 × 3,078.36
  4. Step 4: Simplify right side
    10,474.74x = 48,362,266.94
  5. Step 5: Solve for x
    x = 48,362,266.94/10,474.74
  6. Step 6: Final answer
    x = 4,617.04

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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.