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Finding the Fourth Proportional to 7,490.88, 10,329.12 and 4,834.80

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Solution

The fourth proportional to 7,490.88, 10,329.12 and 4,834.80 is: 6,666.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,490.88 : 10,329.12 = 4,834.80 : x
  2. Step 2: Convert to fraction form
    7,490.88/10,329.12 = 4,834.80/x
  3. Step 3: Cross multiply
    7,490.88x = 10,329.12 × 4,834.80
  4. Step 4: Simplify right side
    7,490.88x = 49,939,229.38
  5. Step 5: Solve for x
    x = 49,939,229.38/7,490.88
  6. Step 6: Final answer
    x = 6,666.67

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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.