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Finding the Fourth Proportional to 11,055.60, 15,261.72 and 7,082.16

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Solution

The fourth proportional to 11,055.60, 15,261.72 and 7,082.16 is: 9,776.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,055.60 : 15,261.72 = 7,082.16 : x
  2. Step 2: Convert to fraction form
    11,055.60/15,261.72 = 7,082.16/x
  3. Step 3: Cross multiply
    11,055.60x = 15,261.72 × 7,082.16
  4. Step 4: Simplify right side
    11,055.60x = 108,085,942.92
  5. Step 5: Solve for x
    x = 108,085,942.92/11,055.60
  6. Step 6: Final answer
    x = 9,776.58

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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.