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Finding the Fourth Proportional to 25,280.82, 37,916.91 and 6,808.50

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Solution

The fourth proportional to 25,280.82, 37,916.91 and 6,808.50 is: 10,211.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,280.82 : 37,916.91 = 6,808.50 : x
  2. Step 2: Convert to fraction form
    25,280.82/37,916.91 = 6,808.50/x
  3. Step 3: Cross multiply
    25,280.82x = 37,916.91 × 6,808.50
  4. Step 4: Simplify right side
    25,280.82x = 258,157,281.74
  5. Step 5: Solve for x
    x = 258,157,281.74/25,280.82
  6. Step 6: Final answer
    x = 10,211.59

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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.