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Finding the Fourth Proportional to 7,997.78, 10,957.03 and 7,698.56

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Solution

The fourth proportional to 7,997.78, 10,957.03 and 7,698.56 is: 10,547.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,997.78 : 10,957.03 = 7,698.56 : x
  2. Step 2: Convert to fraction form
    7,997.78/10,957.03 = 7,698.56/x
  3. Step 3: Cross multiply
    7,997.78x = 10,957.03 × 7,698.56
  4. Step 4: Simplify right side
    7,997.78x = 84,353,352.88
  5. Step 5: Solve for x
    x = 84,353,352.88/7,997.78
  6. Step 6: Final answer
    x = 10,547.10

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.