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Finding the Fourth Proportional to 25,841.33, 38,756.86 and 7,116.51

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Solution

The fourth proportional to 25,841.33, 38,756.86 and 7,116.51 is: 10,673.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,841.33 : 38,756.86 = 7,116.51 : x
  2. Step 2: Convert to fraction form
    25,841.33/38,756.86 = 7,116.51/x
  3. Step 3: Cross multiply
    25,841.33x = 38,756.86 × 7,116.51
  4. Step 4: Simplify right side
    25,841.33x = 275,813,563.97
  5. Step 5: Solve for x
    x = 275,813,563.97/25,841.33
  6. Step 6: Final answer
    x = 10,673.35

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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.