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Finding the Fourth Proportional to 25,280.95, 37,927.36 and 7,511.75

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Solution

The fourth proportional to 25,280.95, 37,927.36 and 7,511.75 is: 11,269.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,280.95 : 37,927.36 = 7,511.75 : x
  2. Step 2: Convert to fraction form
    25,280.95/37,927.36 = 7,511.75/x
  3. Step 3: Cross multiply
    25,280.95x = 37,927.36 × 7,511.75
  4. Step 4: Simplify right side
    25,280.95x = 284,900,762.92
  5. Step 5: Solve for x
    x = 284,900,762.92/25,280.95
  6. Step 6: Final answer
    x = 11,269.38

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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.