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Finding the Fourth Proportional to 8,011.84, 11,054.44 and 4,652.66

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Solution

The fourth proportional to 8,011.84, 11,054.44 and 4,652.66 is: 6,419.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,011.84 : 11,054.44 = 4,652.66 : x
  2. Step 2: Convert to fraction form
    8,011.84/11,054.44 = 4,652.66/x
  3. Step 3: Cross multiply
    8,011.84x = 11,054.44 × 4,652.66
  4. Step 4: Simplify right side
    8,011.84x = 51,432,550.81
  5. Step 5: Solve for x
    x = 51,432,550.81/8,011.84
  6. Step 6: Final answer
    x = 6,419.57

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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.