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Finding the Fourth Proportional to 7,833.12, 10,807.68 and 4,850.40

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Solution

The fourth proportional to 7,833.12, 10,807.68 and 4,850.40 is: 6,692.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,833.12 : 10,807.68 = 4,850.40 : x
  2. Step 2: Convert to fraction form
    7,833.12/10,807.68 = 4,850.40/x
  3. Step 3: Cross multiply
    7,833.12x = 10,807.68 × 4,850.40
  4. Step 4: Simplify right side
    7,833.12x = 52,421,571.07
  5. Step 5: Solve for x
    x = 52,421,571.07/7,833.12
  6. Step 6: Final answer
    x = 6,692.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.