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Finding the Fourth Proportional to 10,769.64, 16,162.35 and 7,070.57

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Solution

The fourth proportional to 10,769.64, 16,162.35 and 7,070.57 is: 10,611.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,769.64 : 16,162.35 = 7,070.57 : x
  2. Step 2: Convert to fraction form
    10,769.64/16,162.35 = 7,070.57/x
  3. Step 3: Cross multiply
    10,769.64x = 16,162.35 × 7,070.57
  4. Step 4: Simplify right side
    10,769.64x = 114,276,946.23
  5. Step 5: Solve for x
    x = 114,276,946.23/10,769.64
  6. Step 6: Final answer
    x = 10,611.03

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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.