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Finding the Fourth Proportional to 15,798, 23,697 and 5,410.56

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Solution

The fourth proportional to 15,798, 23,697 and 5,410.56 is: 8,115.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,798 : 23,697 = 5,410.56 : x
  2. Step 2: Convert to fraction form
    15,798/23,697 = 5,410.56/x
  3. Step 3: Cross multiply
    15,798x = 23,697 × 5,410.56
  4. Step 4: Simplify right side
    15,798x = 128,214,040.32
  5. Step 5: Solve for x
    x = 128,214,040.32/15,798
  6. Step 6: Final answer
    x = 8,115.84

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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.