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Finding the Fourth Proportional to 25,852.76, 38,772.06 and 7,128.38

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Solution

The fourth proportional to 25,852.76, 38,772.06 and 7,128.38 is: 10,690.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,852.76 : 38,772.06 = 7,128.38 : x
  2. Step 2: Convert to fraction form
    25,852.76/38,772.06 = 7,128.38/x
  3. Step 3: Cross multiply
    25,852.76x = 38,772.06 × 7,128.38
  4. Step 4: Simplify right side
    25,852.76x = 276,381,977.06
  5. Step 5: Solve for x
    x = 276,381,977.06/25,852.76
  6. Step 6: Final answer
    x = 10,690.62

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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.