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Finding the Fourth Proportional to 11,177.09, 15,424.80 and 6,141.80

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Solution

The fourth proportional to 11,177.09, 15,424.80 and 6,141.80 is: 8,475.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,177.09 : 15,424.80 = 6,141.80 : x
  2. Step 2: Convert to fraction form
    11,177.09/15,424.80 = 6,141.80/x
  3. Step 3: Cross multiply
    11,177.09x = 15,424.80 × 6,141.80
  4. Step 4: Simplify right side
    11,177.09x = 94,736,036.64
  5. Step 5: Solve for x
    x = 94,736,036.64/11,177.09
  6. Step 6: Final answer
    x = 8,475.91

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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.