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Finding the Fourth Proportional to 11,141.25, 16,707.31 and 6,975.01

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Solution

The fourth proportional to 11,141.25, 16,707.31 and 6,975.01 is: 10,459.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,141.25 : 16,707.31 = 6,975.01 : x
  2. Step 2: Convert to fraction form
    11,141.25/16,707.31 = 6,975.01/x
  3. Step 3: Cross multiply
    11,141.25x = 16,707.31 × 6,975.01
  4. Step 4: Simplify right side
    11,141.25x = 116,533,697.00
  5. Step 5: Solve for x
    x = 116,533,697.00/11,141.25
  6. Step 6: Final answer
    x = 10,459.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.