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Finding the Fourth Proportional to 7,024.65, 10,536.87 and 2,094.32

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Solution

The fourth proportional to 7,024.65, 10,536.87 and 2,094.32 is: 3,141.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,024.65 : 10,536.87 = 2,094.32 : x
  2. Step 2: Convert to fraction form
    7,024.65/10,536.87 = 2,094.32/x
  3. Step 3: Cross multiply
    7,024.65x = 10,536.87 × 2,094.32
  4. Step 4: Simplify right side
    7,024.65x = 22,067,577.58
  5. Step 5: Solve for x
    x = 22,067,577.58/7,024.65
  6. Step 6: Final answer
    x = 3,141.45

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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.