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Finding the Fourth Proportional to 10,804.10, 16,242.60 and 9,200.30

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Solution

The fourth proportional to 10,804.10, 16,242.60 and 9,200.30 is: 13,831.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,804.10 : 16,242.60 = 9,200.30 : x
  2. Step 2: Convert to fraction form
    10,804.10/16,242.60 = 9,200.30/x
  3. Step 3: Cross multiply
    10,804.10x = 16,242.60 × 9,200.30
  4. Step 4: Simplify right side
    10,804.10x = 149,436,792.78
  5. Step 5: Solve for x
    x = 149,436,792.78/10,804.10
  6. Step 6: Final answer
    x = 13,831.49

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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.