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Finding the Fourth Proportional to 8,284.41, 12,405.42 and 4,582.53

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Solution

The fourth proportional to 8,284.41, 12,405.42 and 4,582.53 is: 6,862.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,284.41 : 12,405.42 = 4,582.53 : x
  2. Step 2: Convert to fraction form
    8,284.41/12,405.42 = 4,582.53/x
  3. Step 3: Cross multiply
    8,284.41x = 12,405.42 × 4,582.53
  4. Step 4: Simplify right side
    8,284.41x = 56,848,209.31
  5. Step 5: Solve for x
    x = 56,848,209.31/8,284.41
  6. Step 6: Final answer
    x = 6,862.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.