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Finding the Fourth Proportional to 10,175.77, 14,043.05 and 5,698.63

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Solution

The fourth proportional to 10,175.77, 14,043.05 and 5,698.63 is: 7,864.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,175.77 : 14,043.05 = 5,698.63 : x
  2. Step 2: Convert to fraction form
    10,175.77/14,043.05 = 5,698.63/x
  3. Step 3: Cross multiply
    10,175.77x = 14,043.05 × 5,698.63
  4. Step 4: Simplify right side
    10,175.77x = 80,026,146.02
  5. Step 5: Solve for x
    x = 80,026,146.02/10,175.77
  6. Step 6: Final answer
    x = 7,864.38

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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.