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Finding the Fourth Proportional to 15,641.96, 23,462.94 and 5,261

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Solution

The fourth proportional to 15,641.96, 23,462.94 and 5,261 is: 7,891.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,641.96 : 23,462.94 = 5,261 : x
  2. Step 2: Convert to fraction form
    15,641.96/23,462.94 = 5,261/x
  3. Step 3: Cross multiply
    15,641.96x = 23,462.94 × 5,261
  4. Step 4: Simplify right side
    15,641.96x = 123,438,527.34
  5. Step 5: Solve for x
    x = 123,438,527.34/15,641.96
  6. Step 6: Final answer
    x = 7,891.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.