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Finding the Fourth Proportional to 10,384.84, 15,577.26 and 3,459.88

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Solution

The fourth proportional to 10,384.84, 15,577.26 and 3,459.88 is: 5,189.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,384.84 : 15,577.26 = 3,459.88 : x
  2. Step 2: Convert to fraction form
    10,384.84/15,577.26 = 3,459.88/x
  3. Step 3: Cross multiply
    10,384.84x = 15,577.26 × 3,459.88
  4. Step 4: Simplify right side
    10,384.84x = 53,895,450.33
  5. Step 5: Solve for x
    x = 53,895,450.33/10,384.84
  6. Step 6: Final answer
    x = 5,189.82

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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.