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Finding the Fourth Proportional to 8,364.42, 11,541.96 and 4,828.80

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Solution

The fourth proportional to 8,364.42, 11,541.96 and 4,828.80 is: 6,663.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,364.42 : 11,541.96 = 4,828.80 : x
  2. Step 2: Convert to fraction form
    8,364.42/11,541.96 = 4,828.80/x
  3. Step 3: Cross multiply
    8,364.42x = 11,541.96 × 4,828.80
  4. Step 4: Simplify right side
    8,364.42x = 55,733,816.45
  5. Step 5: Solve for x
    x = 55,733,816.45/8,364.42
  6. Step 6: Final answer
    x = 6,663.20

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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.