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Finding the Fourth Proportional to 12,161.32, 16,782.32 and 6,856.08

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Solution

The fourth proportional to 12,161.32, 16,782.32 and 6,856.08 is: 9,461.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,161.32 : 16,782.32 = 6,856.08 : x
  2. Step 2: Convert to fraction form
    12,161.32/16,782.32 = 6,856.08/x
  3. Step 3: Cross multiply
    12,161.32x = 16,782.32 × 6,856.08
  4. Step 4: Simplify right side
    12,161.32x = 115,060,928.51
  5. Step 5: Solve for x
    x = 115,060,928.51/12,161.32
  6. Step 6: Final answer
    x = 9,461.22

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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.