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Finding the Fourth Proportional to 8,156.70, 11,253.66 and 5,638.94

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Solution

The fourth proportional to 8,156.70, 11,253.66 and 5,638.94 is: 7,779.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,156.70 : 11,253.66 = 5,638.94 : x
  2. Step 2: Convert to fraction form
    8,156.70/11,253.66 = 5,638.94/x
  3. Step 3: Cross multiply
    8,156.70x = 11,253.66 × 5,638.94
  4. Step 4: Simplify right side
    8,156.70x = 63,458,713.52
  5. Step 5: Solve for x
    x = 63,458,713.52/8,156.70
  6. Step 6: Final answer
    x = 7,779.95

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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.