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Finding the Fourth Proportional to 10,007.86, 13,794.94 and 7,880.02

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Solution

The fourth proportional to 10,007.86, 13,794.94 and 7,880.02 is: 10,861.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,007.86 : 13,794.94 = 7,880.02 : x
  2. Step 2: Convert to fraction form
    10,007.86/13,794.94 = 7,880.02/x
  3. Step 3: Cross multiply
    10,007.86x = 13,794.94 × 7,880.02
  4. Step 4: Simplify right side
    10,007.86x = 108,704,378.46
  5. Step 5: Solve for x
    x = 108,704,378.46/10,007.86
  6. Step 6: Final answer
    x = 10,861.90

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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.