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Finding the Fourth Proportional to 11,182.72, 15,431.98 and 6,146.83

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Solution

The fourth proportional to 11,182.72, 15,431.98 and 6,146.83 is: 8,482.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,182.72 : 15,431.98 = 6,146.83 : x
  2. Step 2: Convert to fraction form
    11,182.72/15,431.98 = 6,146.83/x
  3. Step 3: Cross multiply
    11,182.72x = 15,431.98 × 6,146.83
  4. Step 4: Simplify right side
    11,182.72x = 94,857,830.86
  5. Step 5: Solve for x
    x = 94,857,830.86/11,182.72
  6. Step 6: Final answer
    x = 8,482.54

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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.