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Finding the Fourth Proportional to 11,433.93, 15,779.96 and 7,188.20

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Solution

The fourth proportional to 11,433.93, 15,779.96 and 7,188.20 is: 9,920.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,433.93 : 15,779.96 = 7,188.20 : x
  2. Step 2: Convert to fraction form
    11,433.93/15,779.96 = 7,188.20/x
  3. Step 3: Cross multiply
    11,433.93x = 15,779.96 × 7,188.20
  4. Step 4: Simplify right side
    11,433.93x = 113,429,393.63
  5. Step 5: Solve for x
    x = 113,429,393.63/11,433.93
  6. Step 6: Final answer
    x = 9,920.42

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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.