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Finding the Fourth Proportional to 7,921.83, 10,931.38 and 4,734.49

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Solution

The fourth proportional to 7,921.83, 10,931.38 and 4,734.49 is: 6,533.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,921.83 : 10,931.38 = 4,734.49 : x
  2. Step 2: Convert to fraction form
    7,921.83/10,931.38 = 4,734.49/x
  3. Step 3: Cross multiply
    7,921.83x = 10,931.38 × 4,734.49
  4. Step 4: Simplify right side
    7,921.83x = 51,754,485.62
  5. Step 5: Solve for x
    x = 51,754,485.62/7,921.83
  6. Step 6: Final answer
    x = 6,533.15

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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.