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Finding the Fourth Proportional to 7,880.64, 11,812.32 and 3,768

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Solution

The fourth proportional to 7,880.64, 11,812.32 and 3,768 is: 5,647.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,880.64 : 11,812.32 = 3,768 : x
  2. Step 2: Convert to fraction form
    7,880.64/11,812.32 = 3,768/x
  3. Step 3: Cross multiply
    7,880.64x = 11,812.32 × 3,768
  4. Step 4: Simplify right side
    7,880.64x = 44,508,821.76
  5. Step 5: Solve for x
    x = 44,508,821.76/7,880.64
  6. Step 6: Final answer
    x = 5,647.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.