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Finding the Fourth Proportional to 11,641.68, 16,056.48 and 8,281.20

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Solution

The fourth proportional to 11,641.68, 16,056.48 and 8,281.20 is: 11,421.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,641.68 : 16,056.48 = 8,281.20 : x
  2. Step 2: Convert to fraction form
    11,641.68/16,056.48 = 8,281.20/x
  3. Step 3: Cross multiply
    11,641.68x = 16,056.48 × 8,281.20
  4. Step 4: Simplify right side
    11,641.68x = 132,966,922.18
  5. Step 5: Solve for x
    x = 132,966,922.18/11,641.68
  6. Step 6: Final answer
    x = 11,421.63

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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.