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Finding the Fourth Proportional to 10,783.60, 16,169.93 and 4,935.20

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Solution

The fourth proportional to 10,783.60, 16,169.93 and 4,935.20 is: 7,400.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,783.60 : 16,169.93 = 4,935.20 : x
  2. Step 2: Convert to fraction form
    10,783.60/16,169.93 = 4,935.20/x
  3. Step 3: Cross multiply
    10,783.60x = 16,169.93 × 4,935.20
  4. Step 4: Simplify right side
    10,783.60x = 79,801,838.54
  5. Step 5: Solve for x
    x = 79,801,838.54/10,783.60
  6. Step 6: Final answer
    x = 7,400.30

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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.