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Finding the Fourth Proportional to 8,723.76, 12,038.73 and 4,947.66

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Solution

The fourth proportional to 8,723.76, 12,038.73 and 4,947.66 is: 6,827.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,723.76 : 12,038.73 = 4,947.66 : x
  2. Step 2: Convert to fraction form
    8,723.76/12,038.73 = 4,947.66/x
  3. Step 3: Cross multiply
    8,723.76x = 12,038.73 × 4,947.66
  4. Step 4: Simplify right side
    8,723.76x = 59,563,542.87
  5. Step 5: Solve for x
    x = 59,563,542.87/8,723.76
  6. Step 6: Final answer
    x = 6,827.74

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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.