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Finding the Fourth Proportional to 10,116, 13,962 and 5,700

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Solution

The fourth proportional to 10,116, 13,962 and 5,700 is: 7,867.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,116 : 13,962 = 5,700 : x
  2. Step 2: Convert to fraction form
    10,116/13,962 = 5,700/x
  3. Step 3: Cross multiply
    10,116x = 13,962 × 5,700
  4. Step 4: Simplify right side
    10,116x = 79,583,400
  5. Step 5: Solve for x
    x = 79,583,400/10,116
  6. Step 6: Final answer
    x = 7,867.08

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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.