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Finding the Fourth Proportional to 8,421.39, 12,632.07 and 2,265.39

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Solution

The fourth proportional to 8,421.39, 12,632.07 and 2,265.39 is: 3,398.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,421.39 : 12,632.07 = 2,265.39 : x
  2. Step 2: Convert to fraction form
    8,421.39/12,632.07 = 2,265.39/x
  3. Step 3: Cross multiply
    8,421.39x = 12,632.07 × 2,265.39
  4. Step 4: Simplify right side
    8,421.39x = 28,616,565.06
  5. Step 5: Solve for x
    x = 28,616,565.06/8,421.39
  6. Step 6: Final answer
    x = 3,398.08

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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.