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Finding the Fourth Proportional to 7,921.76, 10,930.26 and 4,734.20

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Solution

The fourth proportional to 7,921.76, 10,930.26 and 4,734.20 is: 6,532.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,921.76 : 10,930.26 = 4,734.20 : x
  2. Step 2: Convert to fraction form
    7,921.76/10,930.26 = 4,734.20/x
  3. Step 3: Cross multiply
    7,921.76x = 10,930.26 × 4,734.20
  4. Step 4: Simplify right side
    7,921.76x = 51,746,036.89
  5. Step 5: Solve for x
    x = 51,746,036.89/7,921.76
  6. Step 6: Final answer
    x = 6,532.14

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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.