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Finding the Fourth Proportional to 11,941.32, 16,461.48 and 7,463.04

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Solution

The fourth proportional to 11,941.32, 16,461.48 and 7,463.04 is: 10,288.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,941.32 : 16,461.48 = 7,463.04 : x
  2. Step 2: Convert to fraction form
    11,941.32/16,461.48 = 7,463.04/x
  3. Step 3: Cross multiply
    11,941.32x = 16,461.48 × 7,463.04
  4. Step 4: Simplify right side
    11,941.32x = 122,852,683.70
  5. Step 5: Solve for x
    x = 122,852,683.70/11,941.32
  6. Step 6: Final answer
    x = 10,288.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.