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Finding the Fourth Proportional to 8,216.08, 11,341.94 and 5,236

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Solution

The fourth proportional to 8,216.08, 11,341.94 and 5,236 is: 7,228.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,216.08 : 11,341.94 = 5,236 : x
  2. Step 2: Convert to fraction form
    8,216.08/11,341.94 = 5,236/x
  3. Step 3: Cross multiply
    8,216.08x = 11,341.94 × 5,236
  4. Step 4: Simplify right side
    8,216.08x = 59,386,397.84
  5. Step 5: Solve for x
    x = 59,386,397.84/8,216.08
  6. Step 6: Final answer
    x = 7,228.07

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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.