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Finding the Fourth Proportional to 25,773, 38,665.98 and 7,305

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Solution

The fourth proportional to 25,773, 38,665.98 and 7,305 is: 10,959.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,773 : 38,665.98 = 7,305 : x
  2. Step 2: Convert to fraction form
    25,773/38,665.98 = 7,305/x
  3. Step 3: Cross multiply
    25,773x = 38,665.98 × 7,305
  4. Step 4: Simplify right side
    25,773x = 282,454,983.90
  5. Step 5: Solve for x
    x = 282,454,983.90/25,773
  6. Step 6: Final answer
    x = 10,959.34

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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.