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Finding the Fourth Proportional to 7,678.68, 11,509.06 and 3,513.88

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Solution

The fourth proportional to 7,678.68, 11,509.06 and 3,513.88 is: 5,266.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,678.68 : 11,509.06 = 3,513.88 : x
  2. Step 2: Convert to fraction form
    7,678.68/11,509.06 = 3,513.88/x
  3. Step 3: Cross multiply
    7,678.68x = 11,509.06 × 3,513.88
  4. Step 4: Simplify right side
    7,678.68x = 40,441,455.75
  5. Step 5: Solve for x
    x = 40,441,455.75/7,678.68
  6. Step 6: Final answer
    x = 5,266.72

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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.