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Finding the Fourth Proportional to 7,087.51, 9,758.46 and 6,431.41

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Solution

The fourth proportional to 7,087.51, 9,758.46 and 6,431.41 is: 8,855.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,087.51 : 9,758.46 = 6,431.41 : x
  2. Step 2: Convert to fraction form
    7,087.51/9,758.46 = 6,431.41/x
  3. Step 3: Cross multiply
    7,087.51x = 9,758.46 × 6,431.41
  4. Step 4: Simplify right side
    7,087.51x = 62,760,657.23
  5. Step 5: Solve for x
    x = 62,760,657.23/7,087.51
  6. Step 6: Final answer
    x = 8,855.11

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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.