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Finding the Fourth Proportional to 8,382.23, 12,577.95 and 5,097.63

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Solution

The fourth proportional to 8,382.23, 12,577.95 and 5,097.63 is: 7,649.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,382.23 : 12,577.95 = 5,097.63 : x
  2. Step 2: Convert to fraction form
    8,382.23/12,577.95 = 5,097.63/x
  3. Step 3: Cross multiply
    8,382.23x = 12,577.95 × 5,097.63
  4. Step 4: Simplify right side
    8,382.23x = 64,117,735.26
  5. Step 5: Solve for x
    x = 64,117,735.26/8,382.23
  6. Step 6: Final answer
    x = 7,649.24

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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.