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Finding the Fourth Proportional to 7,090.10, 10,635.16 and 3,189.95

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Solution

The fourth proportional to 7,090.10, 10,635.16 and 3,189.95 is: 4,784.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,090.10 : 10,635.16 = 3,189.95 : x
  2. Step 2: Convert to fraction form
    7,090.10/10,635.16 = 3,189.95/x
  3. Step 3: Cross multiply
    7,090.10x = 10,635.16 × 3,189.95
  4. Step 4: Simplify right side
    7,090.10x = 33,925,628.64
  5. Step 5: Solve for x
    x = 33,925,628.64/7,090.10
  6. Step 6: Final answer
    x = 4,784.93

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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.