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Finding the Fourth Proportional to 7,097.56, 10,637.58 and 2,935

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Solution

The fourth proportional to 7,097.56, 10,637.58 and 2,935 is: 4,398.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,097.56 : 10,637.58 = 2,935 : x
  2. Step 2: Convert to fraction form
    7,097.56/10,637.58 = 2,935/x
  3. Step 3: Cross multiply
    7,097.56x = 10,637.58 × 2,935
  4. Step 4: Simplify right side
    7,097.56x = 31,221,297.30
  5. Step 5: Solve for x
    x = 31,221,297.30/7,097.56
  6. Step 6: Final answer
    x = 4,398.88

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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.