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Finding the Fourth Proportional to 7,928.80, 10,941.81 and 4,784.38

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Solution

The fourth proportional to 7,928.80, 10,941.81 and 4,784.38 is: 6,602.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,928.80 : 10,941.81 = 4,784.38 : x
  2. Step 2: Convert to fraction form
    7,928.80/10,941.81 = 4,784.38/x
  3. Step 3: Cross multiply
    7,928.80x = 10,941.81 × 4,784.38
  4. Step 4: Simplify right side
    7,928.80x = 52,349,722.22
  5. Step 5: Solve for x
    x = 52,349,722.22/7,928.80
  6. Step 6: Final answer
    x = 6,602.48

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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.