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Finding the Fourth Proportional to 10,735.70, 14,816.12 and 5,956.11

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Solution

The fourth proportional to 10,735.70, 14,816.12 and 5,956.11 is: 8,219.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,735.70 : 14,816.12 = 5,956.11 : x
  2. Step 2: Convert to fraction form
    10,735.70/14,816.12 = 5,956.11/x
  3. Step 3: Cross multiply
    10,735.70x = 14,816.12 × 5,956.11
  4. Step 4: Simplify right side
    10,735.70x = 88,246,492.42
  5. Step 5: Solve for x
    x = 88,246,492.42/10,735.70
  6. Step 6: Final answer
    x = 8,219.91

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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.