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Finding the Fourth Proportional to 7,006.85, 10,497.45 and 5,509.09

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Solution

The fourth proportional to 7,006.85, 10,497.45 and 5,509.09 is: 8,253.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,006.85 : 10,497.45 = 5,509.09 : x
  2. Step 2: Convert to fraction form
    7,006.85/10,497.45 = 5,509.09/x
  3. Step 3: Cross multiply
    7,006.85x = 10,497.45 × 5,509.09
  4. Step 4: Simplify right side
    7,006.85x = 57,831,369.28
  5. Step 5: Solve for x
    x = 57,831,369.28/7,006.85
  6. Step 6: Final answer
    x = 8,253.55

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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.