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Finding the Fourth Proportional to 7,635.84, 11,459.88 and 4,129.80

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Solution

The fourth proportional to 7,635.84, 11,459.88 and 4,129.80 is: 6,198.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,635.84 : 11,459.88 = 4,129.80 : x
  2. Step 2: Convert to fraction form
    7,635.84/11,459.88 = 4,129.80/x
  3. Step 3: Cross multiply
    7,635.84x = 11,459.88 × 4,129.80
  4. Step 4: Simplify right side
    7,635.84x = 47,327,012.42
  5. Step 5: Solve for x
    x = 47,327,012.42/7,635.84
  6. Step 6: Final answer
    x = 6,198.01

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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.