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Finding the Fourth Proportional to 11,827.60, 16,322.03 and 6,792.37

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Solution

The fourth proportional to 11,827.60, 16,322.03 and 6,792.37 is: 9,373.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,827.60 : 16,322.03 = 6,792.37 : x
  2. Step 2: Convert to fraction form
    11,827.60/16,322.03 = 6,792.37/x
  3. Step 3: Cross multiply
    11,827.60x = 16,322.03 × 6,792.37
  4. Step 4: Simplify right side
    11,827.60x = 110,865,266.91
  5. Step 5: Solve for x
    x = 110,865,266.91/11,827.60
  6. Step 6: Final answer
    x = 9,373.44

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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.