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Finding the Fourth Proportional to 11,783.34, 16,260.58 and 6,478.12

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Solution

The fourth proportional to 11,783.34, 16,260.58 and 6,478.12 is: 8,939.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,783.34 : 16,260.58 = 6,478.12 : x
  2. Step 2: Convert to fraction form
    11,783.34/16,260.58 = 6,478.12/x
  3. Step 3: Cross multiply
    11,783.34x = 16,260.58 × 6,478.12
  4. Step 4: Simplify right side
    11,783.34x = 105,337,988.51
  5. Step 5: Solve for x
    x = 105,337,988.51/11,783.34
  6. Step 6: Final answer
    x = 8,939.57

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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.