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Finding the Fourth Proportional to 8,269.68, 12,416.94 and 4,997.28

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Solution

The fourth proportional to 8,269.68, 12,416.94 and 4,997.28 is: 7,503.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,269.68 : 12,416.94 = 4,997.28 : x
  2. Step 2: Convert to fraction form
    8,269.68/12,416.94 = 4,997.28/x
  3. Step 3: Cross multiply
    8,269.68x = 12,416.94 × 4,997.28
  4. Step 4: Simplify right side
    8,269.68x = 62,050,925.92
  5. Step 5: Solve for x
    x = 62,050,925.92/8,269.68
  6. Step 6: Final answer
    x = 7,503.43

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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.