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Finding the Fourth Proportional to 7,082.37, 9,756.75 and 4,953.93

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Solution

The fourth proportional to 7,082.37, 9,756.75 and 4,953.93 is: 6,824.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,082.37 : 9,756.75 = 4,953.93 : x
  2. Step 2: Convert to fraction form
    7,082.37/9,756.75 = 4,953.93/x
  3. Step 3: Cross multiply
    7,082.37x = 9,756.75 × 4,953.93
  4. Step 4: Simplify right side
    7,082.37x = 48,334,238.52
  5. Step 5: Solve for x
    x = 48,334,238.52/7,082.37
  6. Step 6: Final answer
    x = 6,824.59

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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.