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Finding the Fourth Proportional to 15,640.96, 23,461.44 and 5,260

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Solution

The fourth proportional to 15,640.96, 23,461.44 and 5,260 is: 7,890

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,640.96 : 23,461.44 = 5,260 : x
  2. Step 2: Convert to fraction form
    15,640.96/23,461.44 = 5,260/x
  3. Step 3: Cross multiply
    15,640.96x = 23,461.44 × 5,260
  4. Step 4: Simplify right side
    15,640.96x = 123,407,174.40
  5. Step 5: Solve for x
    x = 123,407,174.40/15,640.96
  6. Step 6: Final answer
    x = 7,890

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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.