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Finding the Fourth Proportional to 11,403.83, 15,743.82 and 8,693.78

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Solution

The fourth proportional to 11,403.83, 15,743.82 and 8,693.78 is: 12,002.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,403.83 : 15,743.82 = 8,693.78 : x
  2. Step 2: Convert to fraction form
    11,403.83/15,743.82 = 8,693.78/x
  3. Step 3: Cross multiply
    11,403.83x = 15,743.82 × 8,693.78
  4. Step 4: Simplify right side
    11,403.83x = 136,873,307.44
  5. Step 5: Solve for x
    x = 136,873,307.44/11,403.83
  6. Step 6: Final answer
    x = 12,002.40

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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.