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Finding the Fourth Proportional to 10,457.96, 15,679.74 and 5,261

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Solution

The fourth proportional to 10,457.96, 15,679.74 and 5,261 is: 7,887.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,457.96 : 15,679.74 = 5,261 : x
  2. Step 2: Convert to fraction form
    10,457.96/15,679.74 = 5,261/x
  3. Step 3: Cross multiply
    10,457.96x = 15,679.74 × 5,261
  4. Step 4: Simplify right side
    10,457.96x = 82,491,112.14
  5. Step 5: Solve for x
    x = 82,491,112.14/10,457.96
  6. Step 6: Final answer
    x = 7,887.88

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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.