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Finding the Fourth Proportional to 11,465.84, 15,821.84 and 6,429.24

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Solution

The fourth proportional to 11,465.84, 15,821.84 and 6,429.24 is: 8,871.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,465.84 : 15,821.84 = 6,429.24 : x
  2. Step 2: Convert to fraction form
    11,465.84/15,821.84 = 6,429.24/x
  3. Step 3: Cross multiply
    11,465.84x = 15,821.84 × 6,429.24
  4. Step 4: Simplify right side
    11,465.84x = 101,722,406.60
  5. Step 5: Solve for x
    x = 101,722,406.60/11,465.84
  6. Step 6: Final answer
    x = 8,871.78

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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.