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Finding the Fourth Proportional to 11,657.93, 16,081.30 and 7,180.72

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Solution

The fourth proportional to 11,657.93, 16,081.30 and 7,180.72 is: 9,905.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,657.93 : 16,081.30 = 7,180.72 : x
  2. Step 2: Convert to fraction form
    11,657.93/16,081.30 = 7,180.72/x
  3. Step 3: Cross multiply
    11,657.93x = 16,081.30 × 7,180.72
  4. Step 4: Simplify right side
    11,657.93x = 115,475,281.31
  5. Step 5: Solve for x
    x = 115,475,281.31/11,657.93
  6. Step 6: Final answer
    x = 9,905.30

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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.