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Finding the Fourth Proportional to 11,511.59, 15,887.39 and 6,476.02

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Solution

The fourth proportional to 11,511.59, 15,887.39 and 6,476.02 is: 8,937.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,511.59 : 15,887.39 = 6,476.02 : x
  2. Step 2: Convert to fraction form
    11,511.59/15,887.39 = 6,476.02/x
  3. Step 3: Cross multiply
    11,511.59x = 15,887.39 × 6,476.02
  4. Step 4: Simplify right side
    11,511.59x = 102,887,019.72
  5. Step 5: Solve for x
    x = 102,887,019.72/11,511.59
  6. Step 6: Final answer
    x = 8,937.69

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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.