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Finding the Fourth Proportional to 8,548.75, 11,797.28 and 4,823.47

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Solution

The fourth proportional to 8,548.75, 11,797.28 and 4,823.47 is: 6,656.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,548.75 : 11,797.28 = 4,823.47 : x
  2. Step 2: Convert to fraction form
    8,548.75/11,797.28 = 4,823.47/x
  3. Step 3: Cross multiply
    8,548.75x = 11,797.28 × 4,823.47
  4. Step 4: Simplify right side
    8,548.75x = 56,903,826.16
  5. Step 5: Solve for x
    x = 56,903,826.16/8,548.75
  6. Step 6: Final answer
    x = 6,656.39

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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.