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Finding the Fourth Proportional to 8,638.95, 11,921.80 and 4,862.19

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Solution

The fourth proportional to 8,638.95, 11,921.80 and 4,862.19 is: 6,709.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,638.95 : 11,921.80 = 4,862.19 : x
  2. Step 2: Convert to fraction form
    8,638.95/11,921.80 = 4,862.19/x
  3. Step 3: Cross multiply
    8,638.95x = 11,921.80 × 4,862.19
  4. Step 4: Simplify right side
    8,638.95x = 57,966,056.74
  5. Step 5: Solve for x
    x = 57,966,056.74/8,638.95
  6. Step 6: Final answer
    x = 6,709.85

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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.