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Finding the Fourth Proportional to 7,645.04, 11,444.86 and 4,171.76

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Solution

The fourth proportional to 7,645.04, 11,444.86 and 4,171.76 is: 6,245.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,645.04 : 11,444.86 = 4,171.76 : x
  2. Step 2: Convert to fraction form
    7,645.04/11,444.86 = 4,171.76/x
  3. Step 3: Cross multiply
    7,645.04x = 11,444.86 × 4,171.76
  4. Step 4: Simplify right side
    7,645.04x = 47,745,209.15
  5. Step 5: Solve for x
    x = 47,745,209.15/7,645.04
  6. Step 6: Final answer
    x = 6,245.25

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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.