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Finding the Fourth Proportional to 10,150.62, 14,007.29 and 5,673.48

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Solution

The fourth proportional to 10,150.62, 14,007.29 and 5,673.48 is: 7,829.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,150.62 : 14,007.29 = 5,673.48 : x
  2. Step 2: Convert to fraction form
    10,150.62/14,007.29 = 5,673.48/x
  3. Step 3: Cross multiply
    10,150.62x = 14,007.29 × 5,673.48
  4. Step 4: Simplify right side
    10,150.62x = 79,470,051.30
  5. Step 5: Solve for x
    x = 79,470,051.30/10,150.62
  6. Step 6: Final answer
    x = 7,829.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.