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Finding the Fourth Proportional to 7,441.84, 11,164.66 and 5,254.84

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Solution

The fourth proportional to 7,441.84, 11,164.66 and 5,254.84 is: 7,883.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,441.84 : 11,164.66 = 5,254.84 : x
  2. Step 2: Convert to fraction form
    7,441.84/11,164.66 = 5,254.84/x
  3. Step 3: Cross multiply
    7,441.84x = 11,164.66 × 5,254.84
  4. Step 4: Simplify right side
    7,441.84x = 58,668,501.95
  5. Step 5: Solve for x
    x = 58,668,501.95/7,441.84
  6. Step 6: Final answer
    x = 7,883.60

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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.