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Finding the Fourth Proportional to 10,380.33, 15,570.50 and 2,984.78

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Solution

The fourth proportional to 10,380.33, 15,570.50 and 2,984.78 is: 4,477.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,380.33 : 15,570.50 = 2,984.78 : x
  2. Step 2: Convert to fraction form
    10,380.33/15,570.50 = 2,984.78/x
  3. Step 3: Cross multiply
    10,380.33x = 15,570.50 × 2,984.78
  4. Step 4: Simplify right side
    10,380.33x = 46,474,424.21
  5. Step 5: Solve for x
    x = 46,474,424.21/10,380.33
  6. Step 6: Final answer
    x = 4,477.16

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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.