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Finding the Fourth Proportional to 6,526.54, 9,786.12 and 2,827.72

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Solution

The fourth proportional to 6,526.54, 9,786.12 and 2,827.72 is: 4,239.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,526.54 : 9,786.12 = 2,827.72 : x
  2. Step 2: Convert to fraction form
    6,526.54/9,786.12 = 2,827.72/x
  3. Step 3: Cross multiply
    6,526.54x = 9,786.12 × 2,827.72
  4. Step 4: Simplify right side
    6,526.54x = 27,672,407.25
  5. Step 5: Solve for x
    x = 27,672,407.25/6,526.54
  6. Step 6: Final answer
    x = 4,239.98

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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.