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Finding the Fourth Proportional to 10,388.84, 15,579.10 and 4,913

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Solution

The fourth proportional to 10,388.84, 15,579.10 and 4,913 is: 7,367.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,388.84 : 15,579.10 = 4,913 : x
  2. Step 2: Convert to fraction form
    10,388.84/15,579.10 = 4,913/x
  3. Step 3: Cross multiply
    10,388.84x = 15,579.10 × 4,913
  4. Step 4: Simplify right side
    10,388.84x = 76,540,118.30
  5. Step 5: Solve for x
    x = 76,540,118.30/10,388.84
  6. Step 6: Final answer
    x = 7,367.53

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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.