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Finding the Fourth Proportional to 8,111.36, 11,193.84 and 4,756.74

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Solution

The fourth proportional to 8,111.36, 11,193.84 and 4,756.74 is: 6,564.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,111.36 : 11,193.84 = 4,756.74 : x
  2. Step 2: Convert to fraction form
    8,111.36/11,193.84 = 4,756.74/x
  3. Step 3: Cross multiply
    8,111.36x = 11,193.84 × 4,756.74
  4. Step 4: Simplify right side
    8,111.36x = 53,246,186.48
  5. Step 5: Solve for x
    x = 53,246,186.48/8,111.36
  6. Step 6: Final answer
    x = 6,564.40

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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.