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Finding the Fourth Proportional to 11,543.76, 17,302.68 and 4,973.04

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Solution

The fourth proportional to 11,543.76, 17,302.68 and 4,973.04 is: 7,453.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,543.76 : 17,302.68 = 4,973.04 : x
  2. Step 2: Convert to fraction form
    11,543.76/17,302.68 = 4,973.04/x
  3. Step 3: Cross multiply
    11,543.76x = 17,302.68 × 4,973.04
  4. Step 4: Simplify right side
    11,543.76x = 86,046,919.75
  5. Step 5: Solve for x
    x = 86,046,919.75/11,543.76
  6. Step 6: Final answer
    x = 7,453.98

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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.