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Finding the Fourth Proportional to 7,475.50, 10,316.25 and 4,288.94

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Solution

The fourth proportional to 7,475.50, 10,316.25 and 4,288.94 is: 5,918.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,475.50 : 10,316.25 = 4,288.94 : x
  2. Step 2: Convert to fraction form
    7,475.50/10,316.25 = 4,288.94/x
  3. Step 3: Cross multiply
    7,475.50x = 10,316.25 × 4,288.94
  4. Step 4: Simplify right side
    7,475.50x = 44,245,764.38
  5. Step 5: Solve for x
    x = 44,245,764.38/7,475.50
  6. Step 6: Final answer
    x = 5,918.77

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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.