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Finding the Fourth Proportional to 6,762, 10,138.90 and 3,059.13

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Solution

The fourth proportional to 6,762, 10,138.90 and 3,059.13 is: 4,586.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,762 : 10,138.90 = 3,059.13 : x
  2. Step 2: Convert to fraction form
    6,762/10,138.90 = 3,059.13/x
  3. Step 3: Cross multiply
    6,762x = 10,138.90 × 3,059.13
  4. Step 4: Simplify right side
    6,762x = 31,016,205.51
  5. Step 5: Solve for x
    x = 31,016,205.51/6,762
  6. Step 6: Final answer
    x = 4,586.84

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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.