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Finding the Fourth Proportional to 8,305.16, 12,447.35 and 4,146.35

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Solution

The fourth proportional to 8,305.16, 12,447.35 and 4,146.35 is: 6,214.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,305.16 : 12,447.35 = 4,146.35 : x
  2. Step 2: Convert to fraction form
    8,305.16/12,447.35 = 4,146.35/x
  3. Step 3: Cross multiply
    8,305.16x = 12,447.35 × 4,146.35
  4. Step 4: Simplify right side
    8,305.16x = 51,610,986.70
  5. Step 5: Solve for x
    x = 51,610,986.70/8,305.16
  6. Step 6: Final answer
    x = 6,214.33

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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.