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Finding the Fourth Proportional to 7,234.34, 10,846.24 and 4,888.51

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Solution

The fourth proportional to 7,234.34, 10,846.24 and 4,888.51 is: 7,329.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,234.34 : 10,846.24 = 4,888.51 : x
  2. Step 2: Convert to fraction form
    7,234.34/10,846.24 = 4,888.51/x
  3. Step 3: Cross multiply
    7,234.34x = 10,846.24 × 4,888.51
  4. Step 4: Simplify right side
    7,234.34x = 53,021,913.37
  5. Step 5: Solve for x
    x = 53,021,913.37/7,234.34
  6. Step 6: Final answer
    x = 7,329.20

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