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Finding the Fourth Proportional to 25,927.48, 38,892.66 and 7,459

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Solution

The fourth proportional to 25,927.48, 38,892.66 and 7,459 is: 11,188.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,927.48 : 38,892.66 = 7,459 : x
  2. Step 2: Convert to fraction form
    25,927.48/38,892.66 = 7,459/x
  3. Step 3: Cross multiply
    25,927.48x = 38,892.66 × 7,459
  4. Step 4: Simplify right side
    25,927.48x = 290,100,350.94
  5. Step 5: Solve for x
    x = 290,100,350.94/25,927.48
  6. Step 6: Final answer
    x = 11,188.91

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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.