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Finding the Fourth Proportional to 7,006.59, 10,505.31 and 4,914.96

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Solution

The fourth proportional to 7,006.59, 10,505.31 and 4,914.96 is: 7,369.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,006.59 : 10,505.31 = 4,914.96 : x
  2. Step 2: Convert to fraction form
    7,006.59/10,505.31 = 4,914.96/x
  3. Step 3: Cross multiply
    7,006.59x = 10,505.31 × 4,914.96
  4. Step 4: Simplify right side
    7,006.59x = 51,633,178.44
  5. Step 5: Solve for x
    x = 51,633,178.44/7,006.59
  6. Step 6: Final answer
    x = 7,369.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.