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Finding the Fourth Proportional to 8,740.19, 12,078.57 and 7,768.19

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Solution

The fourth proportional to 8,740.19, 12,078.57 and 7,768.19 is: 10,735.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,740.19 : 12,078.57 = 7,768.19 : x
  2. Step 2: Convert to fraction form
    8,740.19/12,078.57 = 7,768.19/x
  3. Step 3: Cross multiply
    8,740.19x = 12,078.57 × 7,768.19
  4. Step 4: Simplify right side
    8,740.19x = 93,828,566.30
  5. Step 5: Solve for x
    x = 93,828,566.30/8,740.19
  6. Step 6: Final answer
    x = 10,735.31

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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.