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Finding the Fourth Proportional to 8,444, 11,652.72 and 4,718

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Solution

The fourth proportional to 8,444, 11,652.72 and 4,718 is: 6,510.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,444 : 11,652.72 = 4,718 : x
  2. Step 2: Convert to fraction form
    8,444/11,652.72 = 4,718/x
  3. Step 3: Cross multiply
    8,444x = 11,652.72 × 4,718
  4. Step 4: Simplify right side
    8,444x = 54,977,532.96
  5. Step 5: Solve for x
    x = 54,977,532.96/8,444
  6. Step 6: Final answer
    x = 6,510.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.