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Finding the Fourth Proportional to 8,483.34, 11,706.57 and 4,706.19

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Solution

The fourth proportional to 8,483.34, 11,706.57 and 4,706.19 is: 6,494.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,483.34 : 11,706.57 = 4,706.19 : x
  2. Step 2: Convert to fraction form
    8,483.34/11,706.57 = 4,706.19/x
  3. Step 3: Cross multiply
    8,483.34x = 11,706.57 × 4,706.19
  4. Step 4: Simplify right side
    8,483.34x = 55,093,342.67
  5. Step 5: Solve for x
    x = 55,093,342.67/8,483.34
  6. Step 6: Final answer
    x = 6,494.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.