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Finding the Fourth Proportional to 10,559.70, 14,575.70 and 8,174.51

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Solution

The fourth proportional to 10,559.70, 14,575.70 and 8,174.51 is: 11,283.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,559.70 : 14,575.70 = 8,174.51 : x
  2. Step 2: Convert to fraction form
    10,559.70/14,575.70 = 8,174.51/x
  3. Step 3: Cross multiply
    10,559.70x = 14,575.70 × 8,174.51
  4. Step 4: Simplify right side
    10,559.70x = 119,149,091.66
  5. Step 5: Solve for x
    x = 119,149,091.66/10,559.70
  6. Step 6: Final answer
    x = 11,283.38

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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.