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Finding the Fourth Proportional to 8,305.07, 11,458.22 and 4,719.60

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Solution

The fourth proportional to 8,305.07, 11,458.22 and 4,719.60 is: 6,511.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,305.07 : 11,458.22 = 4,719.60 : x
  2. Step 2: Convert to fraction form
    8,305.07/11,458.22 = 4,719.60/x
  3. Step 3: Cross multiply
    8,305.07x = 11,458.22 × 4,719.60
  4. Step 4: Simplify right side
    8,305.07x = 54,078,191.51
  5. Step 5: Solve for x
    x = 54,078,191.51/8,305.07
  6. Step 6: Final answer
    x = 6,511.47

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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.