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Finding the Fourth Proportional to 11,470.72, 15,830.76 and 6,756.52

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Solution

The fourth proportional to 11,470.72, 15,830.76 and 6,756.52 is: 9,324.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,470.72 : 15,830.76 = 6,756.52 : x
  2. Step 2: Convert to fraction form
    11,470.72/15,830.76 = 6,756.52/x
  3. Step 3: Cross multiply
    11,470.72x = 15,830.76 × 6,756.52
  4. Step 4: Simplify right side
    11,470.72x = 106,960,846.56
  5. Step 5: Solve for x
    x = 106,960,846.56/11,470.72
  6. Step 6: Final answer
    x = 9,324.68

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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.