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Finding the Fourth Proportional to 11,832.66, 16,328.91 and 6,455.07

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Solution

The fourth proportional to 11,832.66, 16,328.91 and 6,455.07 is: 8,907.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,832.66 : 16,328.91 = 6,455.07 : x
  2. Step 2: Convert to fraction form
    11,832.66/16,328.91 = 6,455.07/x
  3. Step 3: Cross multiply
    11,832.66x = 16,328.91 × 6,455.07
  4. Step 4: Simplify right side
    11,832.66x = 105,404,281.28
  5. Step 5: Solve for x
    x = 105,404,281.28/11,832.66
  6. Step 6: Final answer
    x = 8,907.91

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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.