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Finding the Fourth Proportional to 10,207, 14,085.66 and 5,791

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Solution

The fourth proportional to 10,207, 14,085.66 and 5,791 is: 7,991.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,207 : 14,085.66 = 5,791 : x
  2. Step 2: Convert to fraction form
    10,207/14,085.66 = 5,791/x
  3. Step 3: Cross multiply
    10,207x = 14,085.66 × 5,791
  4. Step 4: Simplify right side
    10,207x = 81,570,057.06
  5. Step 5: Solve for x
    x = 81,570,057.06/10,207
  6. Step 6: Final answer
    x = 7,991.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.