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Finding the Fourth Proportional to 10,082.64, 13,902.66 and 7,097.52

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Solution

The fourth proportional to 10,082.64, 13,902.66 and 7,097.52 is: 9,786.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,082.64 : 13,902.66 = 7,097.52 : x
  2. Step 2: Convert to fraction form
    10,082.64/13,902.66 = 7,097.52/x
  3. Step 3: Cross multiply
    10,082.64x = 13,902.66 × 7,097.52
  4. Step 4: Simplify right side
    10,082.64x = 98,674,407.40
  5. Step 5: Solve for x
    x = 98,674,407.40/10,082.64
  6. Step 6: Final answer
    x = 9,786.56

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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.