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Finding the Fourth Proportional to 11,457.54, 17,188.88 and 4,437.63

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Solution

The fourth proportional to 11,457.54, 17,188.88 and 4,437.63 is: 6,657.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,457.54 : 17,188.88 = 4,437.63 : x
  2. Step 2: Convert to fraction form
    11,457.54/17,188.88 = 4,437.63/x
  3. Step 3: Cross multiply
    11,457.54x = 17,188.88 × 4,437.63
  4. Step 4: Simplify right side
    11,457.54x = 76,277,867.37
  5. Step 5: Solve for x
    x = 76,277,867.37/11,457.54
  6. Step 6: Final answer
    x = 6,657.44

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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.