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Finding the Fourth Proportional to 7,234.91, 10,858.51 and 5,160

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Solution

The fourth proportional to 7,234.91, 10,858.51 and 5,160 is: 7,744.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,234.91 : 10,858.51 = 5,160 : x
  2. Step 2: Convert to fraction form
    7,234.91/10,858.51 = 5,160/x
  3. Step 3: Cross multiply
    7,234.91x = 10,858.51 × 5,160
  4. Step 4: Simplify right side
    7,234.91x = 56,029,911.60
  5. Step 5: Solve for x
    x = 56,029,911.60/7,234.91
  6. Step 6: Final answer
    x = 7,744.38

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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.