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Finding the Fourth Proportional to 11,783.50, 17,681.02 and 5,543.26

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Solution

The fourth proportional to 11,783.50, 17,681.02 and 5,543.26 is: 8,317.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,783.50 : 17,681.02 = 5,543.26 : x
  2. Step 2: Convert to fraction form
    11,783.50/17,681.02 = 5,543.26/x
  3. Step 3: Cross multiply
    11,783.50x = 17,681.02 × 5,543.26
  4. Step 4: Simplify right side
    11,783.50x = 98,010,432.86
  5. Step 5: Solve for x
    x = 98,010,432.86/11,783.50
  6. Step 6: Final answer
    x = 8,317.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.