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Finding the Fourth Proportional to 8,028.34, 11,055.93 and 6,531.46

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Solution

The fourth proportional to 8,028.34, 11,055.93 and 6,531.46 is: 8,994.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,028.34 : 11,055.93 = 6,531.46 : x
  2. Step 2: Convert to fraction form
    8,028.34/11,055.93 = 6,531.46/x
  3. Step 3: Cross multiply
    8,028.34x = 11,055.93 × 6,531.46
  4. Step 4: Simplify right side
    8,028.34x = 72,211,364.56
  5. Step 5: Solve for x
    x = 72,211,364.56/8,028.34
  6. Step 6: Final answer
    x = 8,994.56

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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.