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Finding the Fourth Proportional to 8,713.37, 12,024.47 and 4,734.47

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Solution

The fourth proportional to 8,713.37, 12,024.47 and 4,734.47 is: 6,533.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,713.37 : 12,024.47 = 4,734.47 : x
  2. Step 2: Convert to fraction form
    8,713.37/12,024.47 = 4,734.47/x
  3. Step 3: Cross multiply
    8,713.37x = 12,024.47 × 4,734.47
  4. Step 4: Simplify right side
    8,713.37x = 56,929,534.38
  5. Step 5: Solve for x
    x = 56,929,534.38/8,713.37
  6. Step 6: Final answer
    x = 6,533.58

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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.