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Finding the Fourth Proportional to 11,470.51, 15,828.34 and 6,434.03

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Solution

The fourth proportional to 11,470.51, 15,828.34 and 6,434.03 is: 8,878.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,470.51 : 15,828.34 = 6,434.03 : x
  2. Step 2: Convert to fraction form
    11,470.51/15,828.34 = 6,434.03/x
  3. Step 3: Cross multiply
    11,470.51x = 15,828.34 × 6,434.03
  4. Step 4: Simplify right side
    11,470.51x = 101,840,031.86
  5. Step 5: Solve for x
    x = 101,840,031.86/11,470.51
  6. Step 6: Final answer
    x = 8,878.42

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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.