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Finding the Fourth Proportional to 7,921.34, 10,930.71 and 4,734.00

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Solution

The fourth proportional to 7,921.34, 10,930.71 and 4,734.00 is: 6,532.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,921.34 : 10,930.71 = 4,734.00 : x
  2. Step 2: Convert to fraction form
    7,921.34/10,930.71 = 4,734.00/x
  3. Step 3: Cross multiply
    7,921.34x = 10,930.71 × 4,734.00
  4. Step 4: Simplify right side
    7,921.34x = 51,745,998.46
  5. Step 5: Solve for x
    x = 51,745,998.46/7,921.34
  6. Step 6: Final answer
    x = 6,532.48

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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.