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Finding the Fourth Proportional to 7,096.68, 10,686.31 and 5,260.84

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Solution

The fourth proportional to 7,096.68, 10,686.31 and 5,260.84 is: 7,921.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,096.68 : 10,686.31 = 5,260.84 : x
  2. Step 2: Convert to fraction form
    7,096.68/10,686.31 = 5,260.84/x
  3. Step 3: Cross multiply
    7,096.68x = 10,686.31 × 5,260.84
  4. Step 4: Simplify right side
    7,096.68x = 56,218,967.10
  5. Step 5: Solve for x
    x = 56,218,967.10/7,096.68
  6. Step 6: Final answer
    x = 7,921.87

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.