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Finding the Fourth Proportional to 11,765.36, 17,642.86 and 5,527.15

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Solution

The fourth proportional to 11,765.36, 17,642.86 and 5,527.15 is: 8,288.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,765.36 : 17,642.86 = 5,527.15 : x
  2. Step 2: Convert to fraction form
    11,765.36/17,642.86 = 5,527.15/x
  3. Step 3: Cross multiply
    11,765.36x = 17,642.86 × 5,527.15
  4. Step 4: Simplify right side
    11,765.36x = 97,514,656.46
  5. Step 5: Solve for x
    x = 97,514,656.46/11,765.36
  6. Step 6: Final answer
    x = 8,288.28

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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.