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Finding the Fourth Proportional to 11,783.69, 16,261.72 and 6,479

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Solution

The fourth proportional to 11,783.69, 16,261.72 and 6,479 is: 8,941.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,783.69 : 16,261.72 = 6,479 : x
  2. Step 2: Convert to fraction form
    11,783.69/16,261.72 = 6,479/x
  3. Step 3: Cross multiply
    11,783.69x = 16,261.72 × 6,479
  4. Step 4: Simplify right side
    11,783.69x = 105,359,683.88
  5. Step 5: Solve for x
    x = 105,359,683.88/11,783.69
  6. Step 6: Final answer
    x = 8,941.15

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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.