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Finding the Fourth Proportional to 7,682.40, 11,526.30 and 3,300.12

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Solution

The fourth proportional to 7,682.40, 11,526.30 and 3,300.12 is: 4,951.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,682.40 : 11,526.30 = 3,300.12 : x
  2. Step 2: Convert to fraction form
    7,682.40/11,526.30 = 3,300.12/x
  3. Step 3: Cross multiply
    7,682.40x = 11,526.30 × 3,300.12
  4. Step 4: Simplify right side
    7,682.40x = 38,038,173.16
  5. Step 5: Solve for x
    x = 38,038,173.16/7,682.40
  6. Step 6: Final answer
    x = 4,951.34

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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.