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Finding the Fourth Proportional to 11,470.41, 15,828.92 and 6,434.52

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Solution

The fourth proportional to 11,470.41, 15,828.92 and 6,434.52 is: 8,879.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,470.41 : 15,828.92 = 6,434.52 : x
  2. Step 2: Convert to fraction form
    11,470.41/15,828.92 = 6,434.52/x
  3. Step 3: Cross multiply
    11,470.41x = 15,828.92 × 6,434.52
  4. Step 4: Simplify right side
    11,470.41x = 101,851,470.15
  5. Step 5: Solve for x
    x = 101,851,470.15/11,470.41
  6. Step 6: Final answer
    x = 8,879.50

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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.