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Finding the Fourth Proportional to 10,256.70, 14,154.92 and 5,719.89

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Solution

The fourth proportional to 10,256.70, 14,154.92 and 5,719.89 is: 7,893.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,256.70 : 14,154.92 = 5,719.89 : x
  2. Step 2: Convert to fraction form
    10,256.70/14,154.92 = 5,719.89/x
  3. Step 3: Cross multiply
    10,256.70x = 14,154.92 × 5,719.89
  4. Step 4: Simplify right side
    10,256.70x = 80,964,585.36
  5. Step 5: Solve for x
    x = 80,964,585.36/10,256.70
  6. Step 6: Final answer
    x = 7,893.82

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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.