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Finding the Fourth Proportional to 8,427.48, 12,641.22 and 4,729.76

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Solution

The fourth proportional to 8,427.48, 12,641.22 and 4,729.76 is: 7,094.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,427.48 : 12,641.22 = 4,729.76 : x
  2. Step 2: Convert to fraction form
    8,427.48/12,641.22 = 4,729.76/x
  3. Step 3: Cross multiply
    8,427.48x = 12,641.22 × 4,729.76
  4. Step 4: Simplify right side
    8,427.48x = 59,789,936.71
  5. Step 5: Solve for x
    x = 59,789,936.71/8,427.48
  6. Step 6: Final answer
    x = 7,094.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.