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Finding the Fourth Proportional to 10,944.80, 15,082 and 7,792.16

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Solution

The fourth proportional to 10,944.80, 15,082 and 7,792.16 is: 10,737.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,944.80 : 15,082 = 7,792.16 : x
  2. Step 2: Convert to fraction form
    10,944.80/15,082 = 7,792.16/x
  3. Step 3: Cross multiply
    10,944.80x = 15,082 × 7,792.16
  4. Step 4: Simplify right side
    10,944.80x = 117,521,357.12
  5. Step 5: Solve for x
    x = 117,521,357.12/10,944.80
  6. Step 6: Final answer
    x = 10,737.64

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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.