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Finding the Fourth Proportional to 7,788.29, 11,674.47 and 3,111.53

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Solution

The fourth proportional to 7,788.29, 11,674.47 and 3,111.53 is: 4,664.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,788.29 : 11,674.47 = 3,111.53 : x
  2. Step 2: Convert to fraction form
    7,788.29/11,674.47 = 3,111.53/x
  3. Step 3: Cross multiply
    7,788.29x = 11,674.47 × 3,111.53
  4. Step 4: Simplify right side
    7,788.29x = 36,325,463.64
  5. Step 5: Solve for x
    x = 36,325,463.64/7,788.29
  6. Step 6: Final answer
    x = 4,664.11

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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.