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Finding the Fourth Proportional to 10,706.10, 16,041.56 and 10,295.96

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Solution

The fourth proportional to 10,706.10, 16,041.56 and 10,295.96 is: 15,427.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,706.10 : 16,041.56 = 10,295.96 : x
  2. Step 2: Convert to fraction form
    10,706.10/16,041.56 = 10,295.96/x
  3. Step 3: Cross multiply
    10,706.10x = 16,041.56 × 10,295.96
  4. Step 4: Simplify right side
    10,706.10x = 165,163,260.10
  5. Step 5: Solve for x
    x = 165,163,260.10/10,706.10
  6. Step 6: Final answer
    x = 15,427.02

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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.