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Finding the Fourth Proportional to 7,828.32, 11,744.13 and 2,898

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Solution

The fourth proportional to 7,828.32, 11,744.13 and 2,898 is: 4,347.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,828.32 : 11,744.13 = 2,898 : x
  2. Step 2: Convert to fraction form
    7,828.32/11,744.13 = 2,898/x
  3. Step 3: Cross multiply
    7,828.32x = 11,744.13 × 2,898
  4. Step 4: Simplify right side
    7,828.32x = 34,034,488.74
  5. Step 5: Solve for x
    x = 34,034,488.74/7,828.32
  6. Step 6: Final answer
    x = 4,347.61

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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.