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Finding the Fourth Proportional to 11,975.84, 16,509.51 and 8,428.04

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Solution

The fourth proportional to 11,975.84, 16,509.51 and 8,428.04 is: 11,618.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,975.84 : 16,509.51 = 8,428.04 : x
  2. Step 2: Convert to fraction form
    11,975.84/16,509.51 = 8,428.04/x
  3. Step 3: Cross multiply
    11,975.84x = 16,509.51 × 8,428.04
  4. Step 4: Simplify right side
    11,975.84x = 139,142,810.66
  5. Step 5: Solve for x
    x = 139,142,810.66/11,975.84
  6. Step 6: Final answer
    x = 11,618.63

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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.