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Finding the Fourth Proportional to 10,592.67, 14,617.29 and 6,116.14

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Solution

The fourth proportional to 10,592.67, 14,617.29 and 6,116.14 is: 8,439.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,592.67 : 14,617.29 = 6,116.14 : x
  2. Step 2: Convert to fraction form
    10,592.67/14,617.29 = 6,116.14/x
  3. Step 3: Cross multiply
    10,592.67x = 14,617.29 × 6,116.14
  4. Step 4: Simplify right side
    10,592.67x = 89,401,392.06
  5. Step 5: Solve for x
    x = 89,401,392.06/10,592.67
  6. Step 6: Final answer
    x = 8,439.93

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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.