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Finding the Fourth Proportional to 11,775.53, 17,663.58 and 3,454.67

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Solution

The fourth proportional to 11,775.53, 17,663.58 and 3,454.67 is: 5,182.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,775.53 : 17,663.58 = 3,454.67 : x
  2. Step 2: Convert to fraction form
    11,775.53/17,663.58 = 3,454.67/x
  3. Step 3: Cross multiply
    11,775.53x = 17,663.58 × 3,454.67
  4. Step 4: Simplify right side
    11,775.53x = 61,021,751.60
  5. Step 5: Solve for x
    x = 61,021,751.60/11,775.53
  6. Step 6: Final answer
    x = 5,182.08

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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.