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Finding the Fourth Proportional to 11,166.64, 15,406.81 and 7,190.06

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Solution

The fourth proportional to 11,166.64, 15,406.81 and 7,190.06 is: 9,920.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,166.64 : 15,406.81 = 7,190.06 : x
  2. Step 2: Convert to fraction form
    11,166.64/15,406.81 = 7,190.06/x
  3. Step 3: Cross multiply
    11,166.64x = 15,406.81 × 7,190.06
  4. Step 4: Simplify right side
    11,166.64x = 110,775,888.31
  5. Step 5: Solve for x
    x = 110,775,888.31/11,166.64
  6. Step 6: Final answer
    x = 9,920.25

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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.