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Finding the Fourth Proportional to 10,522.45, 15,783.05 and 3,948.09

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Solution

The fourth proportional to 10,522.45, 15,783.05 and 3,948.09 is: 5,921.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,522.45 : 15,783.05 = 3,948.09 : x
  2. Step 2: Convert to fraction form
    10,522.45/15,783.05 = 3,948.09/x
  3. Step 3: Cross multiply
    10,522.45x = 15,783.05 × 3,948.09
  4. Step 4: Simplify right side
    10,522.45x = 62,312,822.96
  5. Step 5: Solve for x
    x = 62,312,822.96/10,522.45
  6. Step 6: Final answer
    x = 5,921.89

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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.