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Finding the Fourth Proportional to 7,809.40, 11,715.11 and 4,111.82

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Solution

The fourth proportional to 7,809.40, 11,715.11 and 4,111.82 is: 6,168.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,809.40 : 11,715.11 = 4,111.82 : x
  2. Step 2: Convert to fraction form
    7,809.40/11,715.11 = 4,111.82/x
  3. Step 3: Cross multiply
    7,809.40x = 11,715.11 × 4,111.82
  4. Step 4: Simplify right side
    7,809.40x = 48,170,492.84
  5. Step 5: Solve for x
    x = 48,170,492.84/7,809.40
  6. Step 6: Final answer
    x = 6,168.27

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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.