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Finding the Fourth Proportional to 7,765.84, 11,626.80 and 7,153.48

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Solution

The fourth proportional to 7,765.84, 11,626.80 and 7,153.48 is: 10,709.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,765.84 : 11,626.80 = 7,153.48 : x
  2. Step 2: Convert to fraction form
    7,765.84/11,626.80 = 7,153.48/x
  3. Step 3: Cross multiply
    7,765.84x = 11,626.80 × 7,153.48
  4. Step 4: Simplify right side
    7,765.84x = 83,172,081.26
  5. Step 5: Solve for x
    x = 83,172,081.26/7,765.84
  6. Step 6: Final answer
    x = 10,709.99

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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.