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Finding the Fourth Proportional to 10,492.36, 14,476.18 and 5,954.29

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Solution

The fourth proportional to 10,492.36, 14,476.18 and 5,954.29 is: 8,215.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,492.36 : 14,476.18 = 5,954.29 : x
  2. Step 2: Convert to fraction form
    10,492.36/14,476.18 = 5,954.29/x
  3. Step 3: Cross multiply
    10,492.36x = 14,476.18 × 5,954.29
  4. Step 4: Simplify right side
    10,492.36x = 86,195,373.81
  5. Step 5: Solve for x
    x = 86,195,373.81/10,492.36
  6. Step 6: Final answer
    x = 8,215.06

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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.