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Finding the Fourth Proportional to 10,152.50, 14,012.07 and 5,959.94

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Solution

The fourth proportional to 10,152.50, 14,012.07 and 5,959.94 is: 8,225.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,152.50 : 14,012.07 = 5,959.94 : x
  2. Step 2: Convert to fraction form
    10,152.50/14,012.07 = 5,959.94/x
  3. Step 3: Cross multiply
    10,152.50x = 14,012.07 × 5,959.94
  4. Step 4: Simplify right side
    10,152.50x = 83,511,096.48
  5. Step 5: Solve for x
    x = 83,511,096.48/10,152.50
  6. Step 6: Final answer
    x = 8,225.67

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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.