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Finding the Fourth Proportional to 10,725.74, 16,071.06 and 10,315.67

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Solution

The fourth proportional to 10,725.74, 16,071.06 and 10,315.67 is: 15,456.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,725.74 : 16,071.06 = 10,315.67 : x
  2. Step 2: Convert to fraction form
    10,725.74/16,071.06 = 10,315.67/x
  3. Step 3: Cross multiply
    10,725.74x = 16,071.06 × 10,315.67
  4. Step 4: Simplify right side
    10,725.74x = 165,783,671.15
  5. Step 5: Solve for x
    x = 165,783,671.15/10,725.74
  6. Step 6: Final answer
    x = 15,456.63

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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.