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Finding the Fourth Proportional to 8,484.46, 12,716.23 and 6,152.47

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Solution

The fourth proportional to 8,484.46, 12,716.23 and 6,152.47 is: 9,221.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,484.46 : 12,716.23 = 6,152.47 : x
  2. Step 2: Convert to fraction form
    8,484.46/12,716.23 = 6,152.47/x
  3. Step 3: Cross multiply
    8,484.46x = 12,716.23 × 6,152.47
  4. Step 4: Simplify right side
    8,484.46x = 78,236,223.59
  5. Step 5: Solve for x
    x = 78,236,223.59/8,484.46
  6. Step 6: Final answer
    x = 9,221.12

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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.