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Finding the Fourth Proportional to 10,350.69, 14,289.57 and 7,812.69

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Solution

The fourth proportional to 10,350.69, 14,289.57 and 7,812.69 is: 10,785.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,350.69 : 14,289.57 = 7,812.69 : x
  2. Step 2: Convert to fraction form
    10,350.69/14,289.57 = 7,812.69/x
  3. Step 3: Cross multiply
    10,350.69x = 14,289.57 × 7,812.69
  4. Step 4: Simplify right side
    10,350.69x = 111,639,980.64
  5. Step 5: Solve for x
    x = 111,639,980.64/10,350.69
  6. Step 6: Final answer
    x = 10,785.75

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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.