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Finding the Fourth Proportional to 11,498.49, 15,867.56 and 6,462.59

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Solution

The fourth proportional to 11,498.49, 15,867.56 and 6,462.59 is: 8,918.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,498.49 : 15,867.56 = 6,462.59 : x
  2. Step 2: Convert to fraction form
    11,498.49/15,867.56 = 6,462.59/x
  3. Step 3: Cross multiply
    11,498.49x = 15,867.56 × 6,462.59
  4. Step 4: Simplify right side
    11,498.49x = 102,545,471.40
  5. Step 5: Solve for x
    x = 102,545,471.40/11,498.49
  6. Step 6: Final answer
    x = 8,918.17

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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.