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Finding the Fourth Proportional to 8,826.50, 13,235.88 and 4,147.84

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Solution

The fourth proportional to 8,826.50, 13,235.88 and 4,147.84 is: 6,219.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,826.50 : 13,235.88 = 4,147.84 : x
  2. Step 2: Convert to fraction form
    8,826.50/13,235.88 = 4,147.84/x
  3. Step 3: Cross multiply
    8,826.50x = 13,235.88 × 4,147.84
  4. Step 4: Simplify right side
    8,826.50x = 54,900,312.50
  5. Step 5: Solve for x
    x = 54,900,312.50/8,826.50
  6. Step 6: Final answer
    x = 6,219.94

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