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Finding the Fourth Proportional to 8,421.48, 12,632.25 and 2,578.07

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Solution

The fourth proportional to 8,421.48, 12,632.25 and 2,578.07 is: 3,867.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,421.48 : 12,632.25 = 2,578.07 : x
  2. Step 2: Convert to fraction form
    8,421.48/12,632.25 = 2,578.07/x
  3. Step 3: Cross multiply
    8,421.48x = 12,632.25 × 2,578.07
  4. Step 4: Simplify right side
    8,421.48x = 32,566,761.60
  5. Step 5: Solve for x
    x = 32,566,761.60/8,421.48
  6. Step 6: Final answer
    x = 3,867.11

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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.