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Finding the Fourth Proportional to 7,065.41, 10,598.21 and 2,135.09

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Solution

The fourth proportional to 7,065.41, 10,598.21 and 2,135.09 is: 3,202.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,065.41 : 10,598.21 = 2,135.09 : x
  2. Step 2: Convert to fraction form
    7,065.41/10,598.21 = 2,135.09/x
  3. Step 3: Cross multiply
    7,065.41x = 10,598.21 × 2,135.09
  4. Step 4: Simplify right side
    7,065.41x = 22,628,132.19
  5. Step 5: Solve for x
    x = 22,628,132.19/7,065.41
  6. Step 6: Final answer
    x = 3,202.66

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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.