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Finding the Fourth Proportional to 11,602.48, 17,403.70 and 4,206.92

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Solution

The fourth proportional to 11,602.48, 17,403.70 and 4,206.92 is: 6,310.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,602.48 : 17,403.70 = 4,206.92 : x
  2. Step 2: Convert to fraction form
    11,602.48/17,403.70 = 4,206.92/x
  3. Step 3: Cross multiply
    11,602.48x = 17,403.70 × 4,206.92
  4. Step 4: Simplify right side
    11,602.48x = 73,215,973.60
  5. Step 5: Solve for x
    x = 73,215,973.60/11,602.48
  6. Step 6: Final answer
    x = 6,310.37

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