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Finding the Fourth Proportional to 7,913.42, 10,917.63 and 6,096.99

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Solution

The fourth proportional to 7,913.42, 10,917.63 and 6,096.99 is: 8,411.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,913.42 : 10,917.63 = 6,096.99 : x
  2. Step 2: Convert to fraction form
    7,913.42/10,917.63 = 6,096.99/x
  3. Step 3: Cross multiply
    7,913.42x = 10,917.63 × 6,096.99
  4. Step 4: Simplify right side
    7,913.42x = 66,564,680.93
  5. Step 5: Solve for x
    x = 66,564,680.93/7,913.42
  6. Step 6: Final answer
    x = 8,411.62

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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.