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Finding the Fourth Proportional to 11,783.68, 16,287.48 and 10,356.66

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Solution

The fourth proportional to 11,783.68, 16,287.48 and 10,356.66 is: 14,315.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,783.68 : 16,287.48 = 10,356.66 : x
  2. Step 2: Convert to fraction form
    11,783.68/16,287.48 = 10,356.66/x
  3. Step 3: Cross multiply
    11,783.68x = 16,287.48 × 10,356.66
  4. Step 4: Simplify right side
    11,783.68x = 168,683,892.62
  5. Step 5: Solve for x
    x = 168,683,892.62/11,783.68
  6. Step 6: Final answer
    x = 14,315.05

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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.