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Finding the Fourth Proportional to 11,798.30, 16,281.36 and 6,765.47

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Solution

The fourth proportional to 11,798.30, 16,281.36 and 6,765.47 is: 9,336.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,798.30 : 16,281.36 = 6,765.47 : x
  2. Step 2: Convert to fraction form
    11,798.30/16,281.36 = 6,765.47/x
  3. Step 3: Cross multiply
    11,798.30x = 16,281.36 × 6,765.47
  4. Step 4: Simplify right side
    11,798.30x = 110,150,971.23
  5. Step 5: Solve for x
    x = 110,150,971.23/11,798.30
  6. Step 6: Final answer
    x = 9,336.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.