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Finding the Fourth Proportional to 11,513.48, 15,884.63 and 6,476.90

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Solution

The fourth proportional to 11,513.48, 15,884.63 and 6,476.90 is: 8,935.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,513.48 : 15,884.63 = 6,476.90 : x
  2. Step 2: Convert to fraction form
    11,513.48/15,884.63 = 6,476.90/x
  3. Step 3: Cross multiply
    11,513.48x = 15,884.63 × 6,476.90
  4. Step 4: Simplify right side
    11,513.48x = 102,883,191.66
  5. Step 5: Solve for x
    x = 102,883,191.66/11,513.48
  6. Step 6: Final answer
    x = 8,935.89

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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.