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Finding the Fourth Proportional to 8,148.64, 12,236.34 and 7,733.11

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Solution

The fourth proportional to 8,148.64, 12,236.34 and 7,733.11 is: 11,612.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,148.64 : 12,236.34 = 7,733.11 : x
  2. Step 2: Convert to fraction form
    8,148.64/12,236.34 = 7,733.11/x
  3. Step 3: Cross multiply
    8,148.64x = 12,236.34 × 7,733.11
  4. Step 4: Simplify right side
    8,148.64x = 94,624,963.22
  5. Step 5: Solve for x
    x = 94,624,963.22/8,148.64
  6. Step 6: Final answer
    x = 11,612.36

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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.