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Finding the Fourth Proportional to 8,341.63, 11,511.27 and 4,564.78

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Solution

The fourth proportional to 8,341.63, 11,511.27 and 4,564.78 is: 6,299.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,341.63 : 11,511.27 = 4,564.78 : x
  2. Step 2: Convert to fraction form
    8,341.63/11,511.27 = 4,564.78/x
  3. Step 3: Cross multiply
    8,341.63x = 11,511.27 × 4,564.78
  4. Step 4: Simplify right side
    8,341.63x = 52,546,386.29
  5. Step 5: Solve for x
    x = 52,546,386.29/8,341.63
  6. Step 6: Final answer
    x = 6,299.30

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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.