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Finding the Fourth Proportional to 10,256.45, 14,153.67 and 5,719.19

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Solution

The fourth proportional to 10,256.45, 14,153.67 and 5,719.19 is: 7,892.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,256.45 : 14,153.67 = 5,719.19 : x
  2. Step 2: Convert to fraction form
    10,256.45/14,153.67 = 5,719.19/x
  3. Step 3: Cross multiply
    10,256.45x = 14,153.67 × 5,719.19
  4. Step 4: Simplify right side
    10,256.45x = 80,947,457.16
  5. Step 5: Solve for x
    x = 80,947,457.16/10,256.45
  6. Step 6: Final answer
    x = 7,892.35

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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.