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Finding the Fourth Proportional to 10,792.16, 16,185.28 and 7,662.88

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Solution

The fourth proportional to 10,792.16, 16,185.28 and 7,662.88 is: 11,492.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,792.16 : 16,185.28 = 7,662.88 : x
  2. Step 2: Convert to fraction form
    10,792.16/16,185.28 = 7,662.88/x
  3. Step 3: Cross multiply
    10,792.16x = 16,185.28 × 7,662.88
  4. Step 4: Simplify right side
    10,792.16x = 124,025,858.41
  5. Step 5: Solve for x
    x = 124,025,858.41/10,792.16
  6. Step 6: Final answer
    x = 11,492.22

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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.