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Finding the Fourth Proportional to 8,430.90, 11,628.06 and 5,406.31

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Solution

The fourth proportional to 8,430.90, 11,628.06 and 5,406.31 is: 7,456.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,430.90 : 11,628.06 = 5,406.31 : x
  2. Step 2: Convert to fraction form
    8,430.90/11,628.06 = 5,406.31/x
  3. Step 3: Cross multiply
    8,430.90x = 11,628.06 × 5,406.31
  4. Step 4: Simplify right side
    8,430.90x = 62,864,838.92
  5. Step 5: Solve for x
    x = 62,864,838.92/8,430.90
  6. Step 6: Final answer
    x = 7,456.48

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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.