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Finding the Fourth Proportional to 8,282.75, 11,430.16 and 4,648.80

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Solution

The fourth proportional to 8,282.75, 11,430.16 and 4,648.80 is: 6,415.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,282.75 : 11,430.16 = 4,648.80 : x
  2. Step 2: Convert to fraction form
    8,282.75/11,430.16 = 4,648.80/x
  3. Step 3: Cross multiply
    8,282.75x = 11,430.16 × 4,648.80
  4. Step 4: Simplify right side
    8,282.75x = 53,136,527.81
  5. Step 5: Solve for x
    x = 53,136,527.81/8,282.75
  6. Step 6: Final answer
    x = 6,415.32

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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.