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Finding the Fourth Proportional to 7,772.90, 11,665.25 and 5,698.18

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Solution

The fourth proportional to 7,772.90, 11,665.25 and 5,698.18 is: 8,551.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,772.90 : 11,665.25 = 5,698.18 : x
  2. Step 2: Convert to fraction form
    7,772.90/11,665.25 = 5,698.18/x
  3. Step 3: Cross multiply
    7,772.90x = 11,665.25 × 5,698.18
  4. Step 4: Simplify right side
    7,772.90x = 66,470,701.70
  5. Step 5: Solve for x
    x = 66,470,701.70/7,772.90
  6. Step 6: Final answer
    x = 8,551.60

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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.