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Finding the Fourth Proportional to 11,645.19, 16,069.86 and 6,340.05

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Solution

The fourth proportional to 11,645.19, 16,069.86 and 6,340.05 is: 8,749.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,645.19 : 16,069.86 = 6,340.05 : x
  2. Step 2: Convert to fraction form
    11,645.19/16,069.86 = 6,340.05/x
  3. Step 3: Cross multiply
    11,645.19x = 16,069.86 × 6,340.05
  4. Step 4: Simplify right side
    11,645.19x = 101,883,715.89
  5. Step 5: Solve for x
    x = 101,883,715.89/11,645.19
  6. Step 6: Final answer
    x = 8,749.00

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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.