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Finding the Fourth Proportional to 11,497.47, 17,260.80 and 9,777.03

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Solution

The fourth proportional to 11,497.47, 17,260.80 and 9,777.03 is: 14,677.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,497.47 : 17,260.80 = 9,777.03 : x
  2. Step 2: Convert to fraction form
    11,497.47/17,260.80 = 9,777.03/x
  3. Step 3: Cross multiply
    11,497.47x = 17,260.80 × 9,777.03
  4. Step 4: Simplify right side
    11,497.47x = 168,759,359.42
  5. Step 5: Solve for x
    x = 168,759,359.42/11,497.47
  6. Step 6: Final answer
    x = 14,677.96

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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.