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Finding the Fourth Proportional to 7,929.38, 11,894.06 and 2,457.38

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Solution

The fourth proportional to 7,929.38, 11,894.06 and 2,457.38 is: 3,686.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,929.38 : 11,894.06 = 2,457.38 : x
  2. Step 2: Convert to fraction form
    7,929.38/11,894.06 = 2,457.38/x
  3. Step 3: Cross multiply
    7,929.38x = 11,894.06 × 2,457.38
  4. Step 4: Simplify right side
    7,929.38x = 29,228,171.84
  5. Step 5: Solve for x
    x = 29,228,171.84/7,929.38
  6. Step 6: Final answer
    x = 3,686.06

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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.