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Finding the Fourth Proportional to 7,776.02, 11,661.44 and 3,097.18

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Solution

The fourth proportional to 7,776.02, 11,661.44 and 3,097.18 is: 4,644.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776.02 : 11,661.44 = 3,097.18 : x
  2. Step 2: Convert to fraction form
    7,776.02/11,661.44 = 3,097.18/x
  3. Step 3: Cross multiply
    7,776.02x = 11,661.44 × 3,097.18
  4. Step 4: Simplify right side
    7,776.02x = 36,117,578.74
  5. Step 5: Solve for x
    x = 36,117,578.74/7,776.02
  6. Step 6: Final answer
    x = 4,644.74

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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.