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Finding the Fourth Proportional to 10,762.26, 16,032.41 and 10,435.84

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Solution

The fourth proportional to 10,762.26, 16,032.41 and 10,435.84 is: 15,546.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,762.26 : 16,032.41 = 10,435.84 : x
  2. Step 2: Convert to fraction form
    10,762.26/16,032.41 = 10,435.84/x
  3. Step 3: Cross multiply
    10,762.26x = 16,032.41 × 10,435.84
  4. Step 4: Simplify right side
    10,762.26x = 167,311,665.57
  5. Step 5: Solve for x
    x = 167,311,665.57/10,762.26
  6. Step 6: Final answer
    x = 15,546.15

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.