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Finding the Fourth Proportional to 7,885.71, 11,834.24 and 4,599.81

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Solution

The fourth proportional to 7,885.71, 11,834.24 and 4,599.81 is: 6,903.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,885.71 : 11,834.24 = 4,599.81 : x
  2. Step 2: Convert to fraction form
    7,885.71/11,834.24 = 4,599.81/x
  3. Step 3: Cross multiply
    7,885.71x = 11,834.24 × 4,599.81
  4. Step 4: Simplify right side
    7,885.71x = 54,435,232.50
  5. Step 5: Solve for x
    x = 54,435,232.50/7,885.71
  6. Step 6: Final answer
    x = 6,903.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.