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Finding the Fourth Proportional to 11,602.72, 17,407.68 and 4,210.72

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Solution

The fourth proportional to 11,602.72, 17,407.68 and 4,210.72 is: 6,317.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,602.72 : 17,407.68 = 4,210.72 : x
  2. Step 2: Convert to fraction form
    11,602.72/17,407.68 = 4,210.72/x
  3. Step 3: Cross multiply
    11,602.72x = 17,407.68 × 4,210.72
  4. Step 4: Simplify right side
    11,602.72x = 73,298,866.33
  5. Step 5: Solve for x
    x = 73,298,866.33/11,602.72
  6. Step 6: Final answer
    x = 6,317.39

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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.