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Finding the Fourth Proportional to 10,256.63, 14,154.95 and 5,719.95

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Solution

The fourth proportional to 10,256.63, 14,154.95 and 5,719.95 is: 7,893.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,256.63 : 14,154.95 = 5,719.95 : x
  2. Step 2: Convert to fraction form
    10,256.63/14,154.95 = 5,719.95/x
  3. Step 3: Cross multiply
    10,256.63x = 14,154.95 × 5,719.95
  4. Step 4: Simplify right side
    10,256.63x = 80,965,620.55
  5. Step 5: Solve for x
    x = 80,965,620.55/10,256.63
  6. Step 6: Final answer
    x = 7,893.98

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Why These Related Problems?

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