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Finding the Fourth Proportional to 8,704.31, 13,040.02 and 6,746.93

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Solution

The fourth proportional to 8,704.31, 13,040.02 and 6,746.93 is: 10,107.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,704.31 : 13,040.02 = 6,746.93 : x
  2. Step 2: Convert to fraction form
    8,704.31/13,040.02 = 6,746.93/x
  3. Step 3: Cross multiply
    8,704.31x = 13,040.02 × 6,746.93
  4. Step 4: Simplify right side
    8,704.31x = 87,980,102.14
  5. Step 5: Solve for x
    x = 87,980,102.14/8,704.31
  6. Step 6: Final answer
    x = 10,107.65

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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.