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Finding the Fourth Proportional to 10,924.84, 15,082.50 and 7,209.64

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Solution

The fourth proportional to 10,924.84, 15,082.50 and 7,209.64 is: 9,953.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,924.84 : 15,082.50 = 7,209.64 : x
  2. Step 2: Convert to fraction form
    10,924.84/15,082.50 = 7,209.64/x
  3. Step 3: Cross multiply
    10,924.84x = 15,082.50 × 7,209.64
  4. Step 4: Simplify right side
    10,924.84x = 108,739,395.30
  5. Step 5: Solve for x
    x = 108,739,395.30/10,924.84
  6. Step 6: Final answer
    x = 9,953.41

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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.