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Finding the Fourth Proportional to 8,538.53, 11,779.88 and 5,180.13

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Solution

The fourth proportional to 8,538.53, 11,779.88 and 5,180.13 is: 7,146.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,538.53 : 11,779.88 = 5,180.13 : x
  2. Step 2: Convert to fraction form
    8,538.53/11,779.88 = 5,180.13/x
  3. Step 3: Cross multiply
    8,538.53x = 11,779.88 × 5,180.13
  4. Step 4: Simplify right side
    8,538.53x = 61,021,283.88
  5. Step 5: Solve for x
    x = 61,021,283.88/8,538.53
  6. Step 6: Final answer
    x = 7,146.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.