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Finding the Fourth Proportional to 10,929.84, 15,082.84 and 6,454.04

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Solution

The fourth proportional to 10,929.84, 15,082.84 and 6,454.04 is: 8,906.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,929.84 : 15,082.84 = 6,454.04 : x
  2. Step 2: Convert to fraction form
    10,929.84/15,082.84 = 6,454.04/x
  3. Step 3: Cross multiply
    10,929.84x = 15,082.84 × 6,454.04
  4. Step 4: Simplify right side
    10,929.84x = 97,345,252.67
  5. Step 5: Solve for x
    x = 97,345,252.67/10,929.84
  6. Step 6: Final answer
    x = 8,906.37

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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.