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Finding the Fourth Proportional to 8,282.40, 11,430.36 and 4,746.48

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Solution

The fourth proportional to 8,282.40, 11,430.36 and 4,746.48 is: 6,550.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,282.40 : 11,430.36 = 4,746.48 : x
  2. Step 2: Convert to fraction form
    8,282.40/11,430.36 = 4,746.48/x
  3. Step 3: Cross multiply
    8,282.40x = 11,430.36 × 4,746.48
  4. Step 4: Simplify right side
    8,282.40x = 54,253,975.13
  5. Step 5: Solve for x
    x = 54,253,975.13/8,282.40
  6. Step 6: Final answer
    x = 6,550.51

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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.