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Finding the Fourth Proportional to 10,502.24, 15,756.20 and 3,929.09

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Solution

The fourth proportional to 10,502.24, 15,756.20 and 3,929.09 is: 5,894.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,502.24 : 15,756.20 = 3,929.09 : x
  2. Step 2: Convert to fraction form
    10,502.24/15,756.20 = 3,929.09/x
  3. Step 3: Cross multiply
    10,502.24x = 15,756.20 × 3,929.09
  4. Step 4: Simplify right side
    10,502.24x = 61,907,429.43
  5. Step 5: Solve for x
    x = 61,907,429.43/10,502.24
  6. Step 6: Final answer
    x = 5,894.69

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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.