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Finding the Fourth Proportional to 7,598.31, 11,398.12 and 2,051.63

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Solution

The fourth proportional to 7,598.31, 11,398.12 and 2,051.63 is: 3,077.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,598.31 : 11,398.12 = 2,051.63 : x
  2. Step 2: Convert to fraction form
    7,598.31/11,398.12 = 2,051.63/x
  3. Step 3: Cross multiply
    7,598.31x = 11,398.12 × 2,051.63
  4. Step 4: Simplify right side
    7,598.31x = 23,384,705.56
  5. Step 5: Solve for x
    x = 23,384,705.56/7,598.31
  6. Step 6: Final answer
    x = 3,077.62

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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.