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Finding the Fourth Proportional to 7,830.51, 11,745.81 and 3,087.15

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Solution

The fourth proportional to 7,830.51, 11,745.81 and 3,087.15 is: 4,630.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,830.51 : 11,745.81 = 3,087.15 : x
  2. Step 2: Convert to fraction form
    7,830.51/11,745.81 = 3,087.15/x
  3. Step 3: Cross multiply
    7,830.51x = 11,745.81 × 3,087.15
  4. Step 4: Simplify right side
    7,830.51x = 36,261,077.34
  5. Step 5: Solve for x
    x = 36,261,077.34/7,830.51
  6. Step 6: Final answer
    x = 4,630.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.