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Finding the Fourth Proportional to 11,715.64, 17,575.23 and 5,054.00

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Solution

The fourth proportional to 11,715.64, 17,575.23 and 5,054.00 is: 7,581.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,715.64 : 17,575.23 = 5,054.00 : x
  2. Step 2: Convert to fraction form
    11,715.64/17,575.23 = 5,054.00/x
  3. Step 3: Cross multiply
    11,715.64x = 17,575.23 × 5,054.00
  4. Step 4: Simplify right side
    11,715.64x = 88,825,115.07
  5. Step 5: Solve for x
    x = 88,825,115.07/11,715.64
  6. Step 6: Final answer
    x = 7,581.76

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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.