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Finding the Fourth Proportional to 8,159.46, 11,260.02 and 4,622.58

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Solution

The fourth proportional to 8,159.46, 11,260.02 and 4,622.58 is: 6,379.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,159.46 : 11,260.02 = 4,622.58 : x
  2. Step 2: Convert to fraction form
    8,159.46/11,260.02 = 4,622.58/x
  3. Step 3: Cross multiply
    8,159.46x = 11,260.02 × 4,622.58
  4. Step 4: Simplify right side
    8,159.46x = 52,050,343.25
  5. Step 5: Solve for x
    x = 52,050,343.25/8,159.46
  6. Step 6: Final answer
    x = 6,379.14

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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.