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Finding the Fourth Proportional to 11,570.40, 17,362.86 and 6,649.62

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Solution

The fourth proportional to 11,570.40, 17,362.86 and 6,649.62 is: 9,978.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,570.40 : 17,362.86 = 6,649.62 : x
  2. Step 2: Convert to fraction form
    11,570.40/17,362.86 = 6,649.62/x
  3. Step 3: Cross multiply
    11,570.40x = 17,362.86 × 6,649.62
  4. Step 4: Simplify right side
    11,570.40x = 115,456,421.11
  5. Step 5: Solve for x
    x = 115,456,421.11/11,570.40
  6. Step 6: Final answer
    x = 9,978.60

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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.