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Finding the Fourth Proportional to 25,560, 38,342.16 and 7,092

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Solution

The fourth proportional to 25,560, 38,342.16 and 7,092 is: 10,638.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,560 : 38,342.16 = 7,092 : x
  2. Step 2: Convert to fraction form
    25,560/38,342.16 = 7,092/x
  3. Step 3: Cross multiply
    25,560x = 38,342.16 × 7,092
  4. Step 4: Simplify right side
    25,560x = 271,922,598.72
  5. Step 5: Solve for x
    x = 271,922,598.72/25,560
  6. Step 6: Final answer
    x = 10,638.60

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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.