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Finding the Fourth Proportional to 11,470.90, 15,828.54 and 6,434.46

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Solution

The fourth proportional to 11,470.90, 15,828.54 and 6,434.46 is: 8,878.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,470.90 : 15,828.54 = 6,434.46 : x
  2. Step 2: Convert to fraction form
    11,470.90/15,828.54 = 6,434.46/x
  3. Step 3: Cross multiply
    11,470.90x = 15,828.54 × 6,434.46
  4. Step 4: Simplify right side
    11,470.90x = 101,848,107.49
  5. Step 5: Solve for x
    x = 101,848,107.49/11,470.90
  6. Step 6: Final answer
    x = 8,878.82

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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.