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Finding the Fourth Proportional to 8,315.44, 11,464.28 and 6,893.76

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Solution

The fourth proportional to 8,315.44, 11,464.28 and 6,893.76 is: 9,504.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,315.44 : 11,464.28 = 6,893.76 : x
  2. Step 2: Convert to fraction form
    8,315.44/11,464.28 = 6,893.76/x
  3. Step 3: Cross multiply
    8,315.44x = 11,464.28 × 6,893.76
  4. Step 4: Simplify right side
    8,315.44x = 79,031,994.89
  5. Step 5: Solve for x
    x = 79,031,994.89/8,315.44
  6. Step 6: Final answer
    x = 9,504.25

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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.