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Finding the Fourth Proportional to 10,182.60, 14,051.28 and 5,706.36

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Solution

The fourth proportional to 10,182.60, 14,051.28 and 5,706.36 is: 7,874.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,182.60 : 14,051.28 = 5,706.36 : x
  2. Step 2: Convert to fraction form
    10,182.60/14,051.28 = 5,706.36/x
  3. Step 3: Cross multiply
    10,182.60x = 14,051.28 × 5,706.36
  4. Step 4: Simplify right side
    10,182.60x = 80,181,662.14
  5. Step 5: Solve for x
    x = 80,181,662.14/10,182.60
  6. Step 6: Final answer
    x = 7,874.38

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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.