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Finding the Fourth Proportional to 7,975.56, 11,006.20 and 4,618.38

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Solution

The fourth proportional to 7,975.56, 11,006.20 and 4,618.38 is: 6,373.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,975.56 : 11,006.20 = 4,618.38 : x
  2. Step 2: Convert to fraction form
    7,975.56/11,006.20 = 4,618.38/x
  3. Step 3: Cross multiply
    7,975.56x = 11,006.20 × 4,618.38
  4. Step 4: Simplify right side
    7,975.56x = 50,830,813.96
  5. Step 5: Solve for x
    x = 50,830,813.96/7,975.56
  6. Step 6: Final answer
    x = 6,373.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.