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Finding the Fourth Proportional to 10,688.53, 16,105.75 and 8,783.41

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Solution

The fourth proportional to 10,688.53, 16,105.75 and 8,783.41 is: 13,235.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,688.53 : 16,105.75 = 8,783.41 : x
  2. Step 2: Convert to fraction form
    10,688.53/16,105.75 = 8,783.41/x
  3. Step 3: Cross multiply
    10,688.53x = 16,105.75 × 8,783.41
  4. Step 4: Simplify right side
    10,688.53x = 141,463,405.61
  5. Step 5: Solve for x
    x = 141,463,405.61/10,688.53
  6. Step 6: Final answer
    x = 13,235.07

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.