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Finding the Fourth Proportional to 7,678.65, 11,509.54 and 2,997.25

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Solution

The fourth proportional to 7,678.65, 11,509.54 and 2,997.25 is: 4,492.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,678.65 : 11,509.54 = 2,997.25 : x
  2. Step 2: Convert to fraction form
    7,678.65/11,509.54 = 2,997.25/x
  3. Step 3: Cross multiply
    7,678.65x = 11,509.54 × 2,997.25
  4. Step 4: Simplify right side
    7,678.65x = 34,497,014.10
  5. Step 5: Solve for x
    x = 34,497,014.10/7,678.65
  6. Step 6: Final answer
    x = 4,492.59

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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.