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Finding the Fourth Proportional to 11,506.37, 15,880.14 and 6,470.78

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Solution

The fourth proportional to 11,506.37, 15,880.14 and 6,470.78 is: 8,930.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,506.37 : 15,880.14 = 6,470.78 : x
  2. Step 2: Convert to fraction form
    11,506.37/15,880.14 = 6,470.78/x
  3. Step 3: Cross multiply
    11,506.37x = 15,880.14 × 6,470.78
  4. Step 4: Simplify right side
    11,506.37x = 102,756,812.91
  5. Step 5: Solve for x
    x = 102,756,812.91/11,506.37
  6. Step 6: Final answer
    x = 8,930.43

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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.