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Finding the Fourth Proportional to 7,234.17, 10,846 and 4,888.36

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Solution

The fourth proportional to 7,234.17, 10,846 and 4,888.36 is: 7,328.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,234.17 : 10,846 = 4,888.36 : x
  2. Step 2: Convert to fraction form
    7,234.17/10,846 = 4,888.36/x
  3. Step 3: Cross multiply
    7,234.17x = 10,846 × 4,888.36
  4. Step 4: Simplify right side
    7,234.17x = 53,019,152.56
  5. Step 5: Solve for x
    x = 53,019,152.56/7,234.17
  6. Step 6: Final answer
    x = 7,328.99

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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.