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Finding the Fourth Proportional to 11,765.67, 17,647.70 and 5,516.93

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Solution

The fourth proportional to 11,765.67, 17,647.70 and 5,516.93 is: 8,275.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,765.67 : 17,647.70 = 5,516.93 : x
  2. Step 2: Convert to fraction form
    11,765.67/17,647.70 = 5,516.93/x
  3. Step 3: Cross multiply
    11,765.67x = 17,647.70 × 5,516.93
  4. Step 4: Simplify right side
    11,765.67x = 97,361,009.74
  5. Step 5: Solve for x
    x = 97,361,009.74/11,765.67
  6. Step 6: Final answer
    x = 8,275.01

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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.