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Finding the Fourth Proportional to 11,449.95, 15,798.20 and 6,666.96

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Solution

The fourth proportional to 11,449.95, 15,798.20 and 6,666.96 is: 9,198.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,449.95 : 15,798.20 = 6,666.96 : x
  2. Step 2: Convert to fraction form
    11,449.95/15,798.20 = 6,666.96/x
  3. Step 3: Cross multiply
    11,449.95x = 15,798.20 × 6,666.96
  4. Step 4: Simplify right side
    11,449.95x = 105,325,967.47
  5. Step 5: Solve for x
    x = 105,325,967.47/11,449.95
  6. Step 6: Final answer
    x = 9,198.81

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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.