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Finding the Fourth Proportional to 11,464.99, 15,821.13 and 6,429.76

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Solution

The fourth proportional to 11,464.99, 15,821.13 and 6,429.76 is: 8,872.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,464.99 : 15,821.13 = 6,429.76 : x
  2. Step 2: Convert to fraction form
    11,464.99/15,821.13 = 6,429.76/x
  3. Step 3: Cross multiply
    11,464.99x = 15,821.13 × 6,429.76
  4. Step 4: Simplify right side
    11,464.99x = 101,726,068.83
  5. Step 5: Solve for x
    x = 101,726,068.83/11,464.99
  6. Step 6: Final answer
    x = 8,872.76

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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.