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Finding the Fourth Proportional to 8,253.96, 11,390.57 and 4,477.15

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Solution

The fourth proportional to 8,253.96, 11,390.57 and 4,477.15 is: 6,178.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,253.96 : 11,390.57 = 4,477.15 : x
  2. Step 2: Convert to fraction form
    8,253.96/11,390.57 = 4,477.15/x
  3. Step 3: Cross multiply
    8,253.96x = 11,390.57 × 4,477.15
  4. Step 4: Simplify right side
    8,253.96x = 50,997,290.48
  5. Step 5: Solve for x
    x = 50,997,290.48/8,253.96
  6. Step 6: Final answer
    x = 6,178.52

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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.