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Finding the Fourth Proportional to 15,811.56, 23,719.90 and 4,865

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Solution

The fourth proportional to 15,811.56, 23,719.90 and 4,865 is: 7,298.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,811.56 : 23,719.90 = 4,865 : x
  2. Step 2: Convert to fraction form
    15,811.56/23,719.90 = 4,865/x
  3. Step 3: Cross multiply
    15,811.56x = 23,719.90 × 4,865
  4. Step 4: Simplify right side
    15,811.56x = 115,397,313.50
  5. Step 5: Solve for x
    x = 115,397,313.50/15,811.56
  6. Step 6: Final answer
    x = 7,298.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.