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Finding the Fourth Proportional to 11,082.16, 15,293.56 and 6,114.16

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Solution

The fourth proportional to 11,082.16, 15,293.56 and 6,114.16 is: 8,437.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,082.16 : 15,293.56 = 6,114.16 : x
  2. Step 2: Convert to fraction form
    11,082.16/15,293.56 = 6,114.16/x
  3. Step 3: Cross multiply
    11,082.16x = 15,293.56 × 6,114.16
  4. Step 4: Simplify right side
    11,082.16x = 93,507,272.81
  5. Step 5: Solve for x
    x = 93,507,272.81/11,082.16
  6. Step 6: Final answer
    x = 8,437.64

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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.