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Finding the Fourth Proportional to 10,356.80, 15,535.20 and 3,783.20

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Solution

The fourth proportional to 10,356.80, 15,535.20 and 3,783.20 is: 5,674.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,356.80 : 15,535.20 = 3,783.20 : x
  2. Step 2: Convert to fraction form
    10,356.80/15,535.20 = 3,783.20/x
  3. Step 3: Cross multiply
    10,356.80x = 15,535.20 × 3,783.20
  4. Step 4: Simplify right side
    10,356.80x = 58,772,768.64
  5. Step 5: Solve for x
    x = 58,772,768.64/10,356.80
  6. Step 6: Final answer
    x = 5,674.80

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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.