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Finding the Fourth Proportional to 25,825, 38,743.98 and 7,357

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Solution

The fourth proportional to 25,825, 38,743.98 and 7,357 is: 11,037.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,825 : 38,743.98 = 7,357 : x
  2. Step 2: Convert to fraction form
    25,825/38,743.98 = 7,357/x
  3. Step 3: Cross multiply
    25,825x = 38,743.98 × 7,357
  4. Step 4: Simplify right side
    25,825x = 285,039,460.86
  5. Step 5: Solve for x
    x = 285,039,460.86/25,825
  6. Step 6: Final answer
    x = 11,037.35

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