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Finding the Fourth Proportional to 7,678.76, 11,515.65 and 2,997.62

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Solution

The fourth proportional to 7,678.76, 11,515.65 and 2,997.62 is: 4,495.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,678.76 : 11,515.65 = 2,997.62 : x
  2. Step 2: Convert to fraction form
    7,678.76/11,515.65 = 2,997.62/x
  3. Step 3: Cross multiply
    7,678.76x = 11,515.65 × 2,997.62
  4. Step 4: Simplify right side
    7,678.76x = 34,519,485.17
  5. Step 5: Solve for x
    x = 34,519,485.17/7,678.76
  6. Step 6: Final answer
    x = 4,495.45

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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.