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Finding the Fourth Proportional to 11,782.19, 16,259.65 and 6,477.50

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Solution

The fourth proportional to 11,782.19, 16,259.65 and 6,477.50 is: 8,939.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,782.19 : 16,259.65 = 6,477.50 : x
  2. Step 2: Convert to fraction form
    11,782.19/16,259.65 = 6,477.50/x
  3. Step 3: Cross multiply
    11,782.19x = 16,259.65 × 6,477.50
  4. Step 4: Simplify right side
    11,782.19x = 105,321,882.88
  5. Step 5: Solve for x
    x = 105,321,882.88/11,782.19
  6. Step 6: Final answer
    x = 8,939.08

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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.