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Finding the Fourth Proportional to 8,000.27, 11,038.60 and 4,641.13

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Solution

The fourth proportional to 8,000.27, 11,038.60 and 4,641.13 is: 6,403.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,000.27 : 11,038.60 = 4,641.13 : x
  2. Step 2: Convert to fraction form
    8,000.27/11,038.60 = 4,641.13/x
  3. Step 3: Cross multiply
    8,000.27x = 11,038.60 × 4,641.13
  4. Step 4: Simplify right side
    8,000.27x = 51,231,638.84
  5. Step 5: Solve for x
    x = 51,231,638.84/8,000.27
  6. Step 6: Final answer
    x = 6,403.74

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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.