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Finding the Fourth Proportional to 10,150.45, 14,007.51 and 5,674.16

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Solution

The fourth proportional to 10,150.45, 14,007.51 and 5,674.16 is: 7,830.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,150.45 : 14,007.51 = 5,674.16 : x
  2. Step 2: Convert to fraction form
    10,150.45/14,007.51 = 5,674.16/x
  3. Step 3: Cross multiply
    10,150.45x = 14,007.51 × 5,674.16
  4. Step 4: Simplify right side
    10,150.45x = 79,480,891.70
  5. Step 5: Solve for x
    x = 79,480,891.70/10,150.45
  6. Step 6: Final answer
    x = 7,830.28

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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.