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Finding the Fourth Proportional to 11,783.10, 16,260 and 6,477.92

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Solution

The fourth proportional to 11,783.10, 16,260 and 6,477.92 is: 8,939.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,783.10 : 16,260 = 6,477.92 : x
  2. Step 2: Convert to fraction form
    11,783.10/16,260 = 6,477.92/x
  3. Step 3: Cross multiply
    11,783.10x = 16,260 × 6,477.92
  4. Step 4: Simplify right side
    11,783.10x = 105,330,897.90
  5. Step 5: Solve for x
    x = 105,330,897.90/11,783.10
  6. Step 6: Final answer
    x = 8,939.15

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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.