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Finding the Fourth Proportional to 11,746.88, 16,209.68 and 6,441.68

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Solution

The fourth proportional to 11,746.88, 16,209.68 and 6,441.68 is: 8,888.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,746.88 : 16,209.68 = 6,441.68 : x
  2. Step 2: Convert to fraction form
    11,746.88/16,209.68 = 6,441.68/x
  3. Step 3: Cross multiply
    11,746.88x = 16,209.68 × 6,441.68
  4. Step 4: Simplify right side
    11,746.88x = 104,417,571.46
  5. Step 5: Solve for x
    x = 104,417,571.46/11,746.88
  6. Step 6: Final answer
    x = 8,888.96

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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.