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Finding the Fourth Proportional to 11,559.25, 17,339.78 and 4,164.45

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Solution

The fourth proportional to 11,559.25, 17,339.78 and 4,164.45 is: 6,247.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,559.25 : 17,339.78 = 4,164.45 : x
  2. Step 2: Convert to fraction form
    11,559.25/17,339.78 = 4,164.45/x
  3. Step 3: Cross multiply
    11,559.25x = 17,339.78 × 4,164.45
  4. Step 4: Simplify right side
    11,559.25x = 72,210,646.82
  5. Step 5: Solve for x
    x = 72,210,646.82/11,559.25
  6. Step 6: Final answer
    x = 6,247.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.