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Finding the Fourth Proportional to 8,833, 13,216.80 and 5,325.04

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Solution

The fourth proportional to 8,833, 13,216.80 and 5,325.04 is: 7,967.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,833 : 13,216.80 = 5,325.04 : x
  2. Step 2: Convert to fraction form
    8,833/13,216.80 = 5,325.04/x
  3. Step 3: Cross multiply
    8,833x = 13,216.80 × 5,325.04
  4. Step 4: Simplify right side
    8,833x = 70,379,988.67
  5. Step 5: Solve for x
    x = 70,379,988.67/8,833
  6. Step 6: Final answer
    x = 7,967.85

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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.