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Finding the Fourth Proportional to 11,014.60, 15,200.09 and 5,978.77

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Solution

The fourth proportional to 11,014.60, 15,200.09 and 5,978.77 is: 8,250.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,014.60 : 15,200.09 = 5,978.77 : x
  2. Step 2: Convert to fraction form
    11,014.60/15,200.09 = 5,978.77/x
  3. Step 3: Cross multiply
    11,014.60x = 15,200.09 × 5,978.77
  4. Step 4: Simplify right side
    11,014.60x = 90,877,842.09
  5. Step 5: Solve for x
    x = 90,877,842.09/11,014.60
  6. Step 6: Final answer
    x = 8,250.67

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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.