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Finding the Fourth Proportional to 7,808.84, 11,705.10 and 3,422.60

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Solution

The fourth proportional to 7,808.84, 11,705.10 and 3,422.60 is: 5,130.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,808.84 : 11,705.10 = 3,422.60 : x
  2. Step 2: Convert to fraction form
    7,808.84/11,705.10 = 3,422.60/x
  3. Step 3: Cross multiply
    7,808.84x = 11,705.10 × 3,422.60
  4. Step 4: Simplify right side
    7,808.84x = 40,061,875.26
  5. Step 5: Solve for x
    x = 40,061,875.26/7,808.84
  6. Step 6: Final answer
    x = 5,130.32

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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.