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Finding the Fourth Proportional to 10,414.10, 14,366.54 and 6,829.04

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Solution

The fourth proportional to 10,414.10, 14,366.54 and 6,829.04 is: 9,420.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,414.10 : 14,366.54 = 6,829.04 : x
  2. Step 2: Convert to fraction form
    10,414.10/14,366.54 = 6,829.04/x
  3. Step 3: Cross multiply
    10,414.10x = 14,366.54 × 6,829.04
  4. Step 4: Simplify right side
    10,414.10x = 98,109,570.34
  5. Step 5: Solve for x
    x = 98,109,570.34/10,414.10
  6. Step 6: Final answer
    x = 9,420.84

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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.