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Finding the Fourth Proportional to 15,806, 23,709.04 and 4,862

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Solution

The fourth proportional to 15,806, 23,709.04 and 4,862 is: 7,293.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,806 : 23,709.04 = 4,862 : x
  2. Step 2: Convert to fraction form
    15,806/23,709.04 = 4,862/x
  3. Step 3: Cross multiply
    15,806x = 23,709.04 × 4,862
  4. Step 4: Simplify right side
    15,806x = 115,273,352.48
  5. Step 5: Solve for x
    x = 115,273,352.48/15,806
  6. Step 6: Final answer
    x = 7,293.01

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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.