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Finding the Fourth Proportional to 10,572.84, 15,859.26 and 2,781

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Solution

The fourth proportional to 10,572.84, 15,859.26 and 2,781 is: 4,171.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,572.84 : 15,859.26 = 2,781 : x
  2. Step 2: Convert to fraction form
    10,572.84/15,859.26 = 2,781/x
  3. Step 3: Cross multiply
    10,572.84x = 15,859.26 × 2,781
  4. Step 4: Simplify right side
    10,572.84x = 44,104,602.06
  5. Step 5: Solve for x
    x = 44,104,602.06/10,572.84
  6. Step 6: Final answer
    x = 4,171.50

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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.