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Finding the Fourth Proportional to 8,207.61, 12,323.70 and 4,701.57

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Solution

The fourth proportional to 8,207.61, 12,323.70 and 4,701.57 is: 7,059.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,207.61 : 12,323.70 = 4,701.57 : x
  2. Step 2: Convert to fraction form
    8,207.61/12,323.70 = 4,701.57/x
  3. Step 3: Cross multiply
    8,207.61x = 12,323.70 × 4,701.57
  4. Step 4: Simplify right side
    8,207.61x = 57,940,738.21
  5. Step 5: Solve for x
    x = 57,940,738.21/8,207.61
  6. Step 6: Final answer
    x = 7,059.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.