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Finding the Fourth Proportional to 8,826.42, 13,211.22 and 4,660.50

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Solution

The fourth proportional to 8,826.42, 13,211.22 and 4,660.50 is: 6,975.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,826.42 : 13,211.22 = 4,660.50 : x
  2. Step 2: Convert to fraction form
    8,826.42/13,211.22 = 4,660.50/x
  3. Step 3: Cross multiply
    8,826.42x = 13,211.22 × 4,660.50
  4. Step 4: Simplify right side
    8,826.42x = 61,570,890.81
  5. Step 5: Solve for x
    x = 61,570,890.81/8,826.42
  6. Step 6: Final answer
    x = 6,975.75

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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.