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Finding the Fourth Proportional to 10,048.32, 13,861.53 and 6,512.67

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Solution

The fourth proportional to 10,048.32, 13,861.53 and 6,512.67 is: 8,984.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,048.32 : 13,861.53 = 6,512.67 : x
  2. Step 2: Convert to fraction form
    10,048.32/13,861.53 = 6,512.67/x
  3. Step 3: Cross multiply
    10,048.32x = 13,861.53 × 6,512.67
  4. Step 4: Simplify right side
    10,048.32x = 90,275,570.59
  5. Step 5: Solve for x
    x = 90,275,570.59/10,048.32
  6. Step 6: Final answer
    x = 8,984.15

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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.