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Finding the Fourth Proportional to 7,784.10, 11,673.36 and 3,885.84

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Solution

The fourth proportional to 7,784.10, 11,673.36 and 3,885.84 is: 5,827.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,784.10 : 11,673.36 = 3,885.84 : x
  2. Step 2: Convert to fraction form
    7,784.10/11,673.36 = 3,885.84/x
  3. Step 3: Cross multiply
    7,784.10x = 11,673.36 × 3,885.84
  4. Step 4: Simplify right side
    7,784.10x = 45,360,809.22
  5. Step 5: Solve for x
    x = 45,360,809.22/7,784.10
  6. Step 6: Final answer
    x = 5,827.37

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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.