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Finding the Fourth Proportional to 7,090.84, 10,634.34 and 2,159.15

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Solution

The fourth proportional to 7,090.84, 10,634.34 and 2,159.15 is: 3,238.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,090.84 : 10,634.34 = 2,159.15 : x
  2. Step 2: Convert to fraction form
    7,090.84/10,634.34 = 2,159.15/x
  3. Step 3: Cross multiply
    7,090.84x = 10,634.34 × 2,159.15
  4. Step 4: Simplify right side
    7,090.84x = 22,961,135.21
  5. Step 5: Solve for x
    x = 22,961,135.21/7,090.84
  6. Step 6: Final answer
    x = 3,238.14

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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.