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Finding the Fourth Proportional to 11,873.44, 16,384.71 and 6,567.40

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Solution

The fourth proportional to 11,873.44, 16,384.71 and 6,567.40 is: 9,062.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,873.44 : 16,384.71 = 6,567.40 : x
  2. Step 2: Convert to fraction form
    11,873.44/16,384.71 = 6,567.40/x
  3. Step 3: Cross multiply
    11,873.44x = 16,384.71 × 6,567.40
  4. Step 4: Simplify right side
    11,873.44x = 107,604,944.45
  5. Step 5: Solve for x
    x = 107,604,944.45/11,873.44
  6. Step 6: Final answer
    x = 9,062.66

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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.