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Finding the Fourth Proportional to 8,649.96, 12,957.84 and 5,719.38

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Solution

The fourth proportional to 8,649.96, 12,957.84 and 5,719.38 is: 8,567.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,649.96 : 12,957.84 = 5,719.38 : x
  2. Step 2: Convert to fraction form
    8,649.96/12,957.84 = 5,719.38/x
  3. Step 3: Cross multiply
    8,649.96x = 12,957.84 × 5,719.38
  4. Step 4: Simplify right side
    8,649.96x = 74,110,810.94
  5. Step 5: Solve for x
    x = 74,110,810.94/8,649.96
  6. Step 6: Final answer
    x = 8,567.76

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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.