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Finding the Fourth Proportional to 7,688.49, 11,522.73 and 6,697.05

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Solution

The fourth proportional to 7,688.49, 11,522.73 and 6,697.05 is: 10,036.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,688.49 : 11,522.73 = 6,697.05 : x
  2. Step 2: Convert to fraction form
    7,688.49/11,522.73 = 6,697.05/x
  3. Step 3: Cross multiply
    7,688.49x = 11,522.73 × 6,697.05
  4. Step 4: Simplify right side
    7,688.49x = 77,168,298.95
  5. Step 5: Solve for x
    x = 77,168,298.95/7,688.49
  6. Step 6: Final answer
    x = 10,036.86

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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.