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Finding the Fourth Proportional to 8,494.16, 12,737.98 and 3,298.82

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Solution

The fourth proportional to 8,494.16, 12,737.98 and 3,298.82 is: 4,946.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,494.16 : 12,737.98 = 3,298.82 : x
  2. Step 2: Convert to fraction form
    8,494.16/12,737.98 = 3,298.82/x
  3. Step 3: Cross multiply
    8,494.16x = 12,737.98 × 3,298.82
  4. Step 4: Simplify right side
    8,494.16x = 42,020,303.18
  5. Step 5: Solve for x
    x = 42,020,303.18/8,494.16
  6. Step 6: Final answer
    x = 4,946.96

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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.