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Finding the Fourth Proportional to 10,929.30, 15,082.29 and 6,213.27

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Solution

The fourth proportional to 10,929.30, 15,082.29 and 6,213.27 is: 8,574.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,929.30 : 15,082.29 = 6,213.27 : x
  2. Step 2: Convert to fraction form
    10,929.30/15,082.29 = 6,213.27/x
  3. Step 3: Cross multiply
    10,929.30x = 15,082.29 × 6,213.27
  4. Step 4: Simplify right side
    10,929.30x = 93,710,339.99
  5. Step 5: Solve for x
    x = 93,710,339.99/10,929.30
  6. Step 6: Final answer
    x = 8,574.23

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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.