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Finding the Fourth Proportional to 8,620.14, 11,900.30 and 5,802.32

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Solution

The fourth proportional to 8,620.14, 11,900.30 and 5,802.32 is: 8,010.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,620.14 : 11,900.30 = 5,802.32 : x
  2. Step 2: Convert to fraction form
    8,620.14/11,900.30 = 5,802.32/x
  3. Step 3: Cross multiply
    8,620.14x = 11,900.30 × 5,802.32
  4. Step 4: Simplify right side
    8,620.14x = 69,049,348.70
  5. Step 5: Solve for x
    x = 69,049,348.70/8,620.14
  6. Step 6: Final answer
    x = 8,010.24

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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.