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Finding the Fourth Proportional to 11,890.32, 16,405.80 and 7,697.76

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Solution

The fourth proportional to 11,890.32, 16,405.80 and 7,697.76 is: 10,621.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,890.32 : 16,405.80 = 7,697.76 : x
  2. Step 2: Convert to fraction form
    11,890.32/16,405.80 = 7,697.76/x
  3. Step 3: Cross multiply
    11,890.32x = 16,405.80 × 7,697.76
  4. Step 4: Simplify right side
    11,890.32x = 126,287,911.01
  5. Step 5: Solve for x
    x = 126,287,911.01/11,890.32
  6. Step 6: Final answer
    x = 10,621.07

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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.