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Finding the Fourth Proportional to 8,282.48, 11,429.64 and 4,648.40

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Solution

The fourth proportional to 8,282.48, 11,429.64 and 4,648.40 is: 6,414.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,282.48 : 11,429.64 = 4,648.40 : x
  2. Step 2: Convert to fraction form
    8,282.48/11,429.64 = 4,648.40/x
  3. Step 3: Cross multiply
    8,282.48x = 11,429.64 × 4,648.40
  4. Step 4: Simplify right side
    8,282.48x = 53,129,538.58
  5. Step 5: Solve for x
    x = 53,129,538.58/8,282.48
  6. Step 6: Final answer
    x = 6,414.69

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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.