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Finding the Fourth Proportional to 11,054.16, 16,582 and 8,425.81

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Solution

The fourth proportional to 11,054.16, 16,582 and 8,425.81 is: 12,639.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,054.16 : 16,582 = 8,425.81 : x
  2. Step 2: Convert to fraction form
    11,054.16/16,582 = 8,425.81/x
  3. Step 3: Cross multiply
    11,054.16x = 16,582 × 8,425.81
  4. Step 4: Simplify right side
    11,054.16x = 139,716,781.42
  5. Step 5: Solve for x
    x = 139,716,781.42/11,054.16
  6. Step 6: Final answer
    x = 12,639.29

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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.