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Finding the Fourth Proportional to 8,419.71, 12,637.34 and 4,262.63

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Solution

The fourth proportional to 8,419.71, 12,637.34 and 4,262.63 is: 6,397.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,419.71 : 12,637.34 = 4,262.63 : x
  2. Step 2: Convert to fraction form
    8,419.71/12,637.34 = 4,262.63/x
  3. Step 3: Cross multiply
    8,419.71x = 12,637.34 × 4,262.63
  4. Step 4: Simplify right side
    8,419.71x = 53,868,354.71
  5. Step 5: Solve for x
    x = 53,868,354.71/8,419.71
  6. Step 6: Final answer
    x = 6,397.89

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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.