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Finding the Fourth Proportional to 10,425.60, 14,385.74 and 5,949.68

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Solution

The fourth proportional to 10,425.60, 14,385.74 and 5,949.68 is: 8,209.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,425.60 : 14,385.74 = 5,949.68 : x
  2. Step 2: Convert to fraction form
    10,425.60/14,385.74 = 5,949.68/x
  3. Step 3: Cross multiply
    10,425.60x = 14,385.74 × 5,949.68
  4. Step 4: Simplify right side
    10,425.60x = 85,590,447.89
  5. Step 5: Solve for x
    x = 85,590,447.89/10,425.60
  6. Step 6: Final answer
    x = 8,209.64

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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.