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Finding the Fourth Proportional to 10,492.34, 14,476.16 and 5,954.27

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Solution

The fourth proportional to 10,492.34, 14,476.16 and 5,954.27 is: 8,215.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,492.34 : 14,476.16 = 5,954.27 : x
  2. Step 2: Convert to fraction form
    10,492.34/14,476.16 = 5,954.27/x
  3. Step 3: Cross multiply
    10,492.34x = 14,476.16 × 5,954.27
  4. Step 4: Simplify right side
    10,492.34x = 86,194,863.05
  5. Step 5: Solve for x
    x = 86,194,863.05/10,492.34
  6. Step 6: Final answer
    x = 8,215.03

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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.