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Finding the Fourth Proportional to 10,145.58, 14,001.46 and 5,669.44

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Solution

The fourth proportional to 10,145.58, 14,001.46 and 5,669.44 is: 7,824.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,145.58 : 14,001.46 = 5,669.44 : x
  2. Step 2: Convert to fraction form
    10,145.58/14,001.46 = 5,669.44/x
  3. Step 3: Cross multiply
    10,145.58x = 14,001.46 × 5,669.44
  4. Step 4: Simplify right side
    10,145.58x = 79,380,437.38
  5. Step 5: Solve for x
    x = 79,380,437.38/10,145.58
  6. Step 6: Final answer
    x = 7,824.14

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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.