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Finding the Fourth Proportional to 7,928, 10,941.20 and 4,784

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Solution

The fourth proportional to 7,928, 10,941.20 and 4,784 is: 6,602.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,928 : 10,941.20 = 4,784 : x
  2. Step 2: Convert to fraction form
    7,928/10,941.20 = 4,784/x
  3. Step 3: Cross multiply
    7,928x = 10,941.20 × 4,784
  4. Step 4: Simplify right side
    7,928x = 52,342,700.80
  5. Step 5: Solve for x
    x = 52,342,700.80/7,928
  6. Step 6: Final answer
    x = 6,602.26

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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.