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Finding the Fourth Proportional to 11,624.52, 16,041.80 and 6,319.34

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Solution

The fourth proportional to 11,624.52, 16,041.80 and 6,319.34 is: 8,720.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,624.52 : 16,041.80 = 6,319.34 : x
  2. Step 2: Convert to fraction form
    11,624.52/16,041.80 = 6,319.34/x
  3. Step 3: Cross multiply
    11,624.52x = 16,041.80 × 6,319.34
  4. Step 4: Simplify right side
    11,624.52x = 101,373,588.41
  5. Step 5: Solve for x
    x = 101,373,588.41/11,624.52
  6. Step 6: Final answer
    x = 8,720.67

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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.