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Finding the Fourth Proportional to 8,290.63, 11,441.06 and 4,564.63

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Solution

The fourth proportional to 8,290.63, 11,441.06 and 4,564.63 is: 6,299.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,290.63 : 11,441.06 = 4,564.63 : x
  2. Step 2: Convert to fraction form
    8,290.63/11,441.06 = 4,564.63/x
  3. Step 3: Cross multiply
    8,290.63x = 11,441.06 × 4,564.63
  4. Step 4: Simplify right side
    8,290.63x = 52,224,159.91
  5. Step 5: Solve for x
    x = 52,224,159.91/8,290.63
  6. Step 6: Final answer
    x = 6,299.18

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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.