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Finding the Fourth Proportional to 10,041, 13,863.08 and 6,457.57

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Solution

The fourth proportional to 10,041, 13,863.08 and 6,457.57 is: 8,915.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,041 : 13,863.08 = 6,457.57 : x
  2. Step 2: Convert to fraction form
    10,041/13,863.08 = 6,457.57/x
  3. Step 3: Cross multiply
    10,041x = 13,863.08 × 6,457.57
  4. Step 4: Simplify right side
    10,041x = 89,521,809.52
  5. Step 5: Solve for x
    x = 89,521,809.52/10,041
  6. Step 6: Final answer
    x = 8,915.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.