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Finding the Fourth Proportional to 7,928.08, 10,940.64 and 4,570.90

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Solution

The fourth proportional to 7,928.08, 10,940.64 and 4,570.90 is: 6,307.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,928.08 : 10,940.64 = 4,570.90 : x
  2. Step 2: Convert to fraction form
    7,928.08/10,940.64 = 4,570.90/x
  3. Step 3: Cross multiply
    7,928.08x = 10,940.64 × 4,570.90
  4. Step 4: Simplify right side
    7,928.08x = 50,008,571.38
  5. Step 5: Solve for x
    x = 50,008,571.38/7,928.08
  6. Step 6: Final answer
    x = 6,307.78

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Why These Related Problems?

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