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Finding the Fourth Proportional to 11,468, 15,826.40 and 6,990.96

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Solution

The fourth proportional to 11,468, 15,826.40 and 6,990.96 is: 9,647.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,468 : 15,826.40 = 6,990.96 : x
  2. Step 2: Convert to fraction form
    11,468/15,826.40 = 6,990.96/x
  3. Step 3: Cross multiply
    11,468x = 15,826.40 × 6,990.96
  4. Step 4: Simplify right side
    11,468x = 110,641,729.34
  5. Step 5: Solve for x
    x = 110,641,729.34/11,468
  6. Step 6: Final answer
    x = 9,647.87

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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.