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Finding the Fourth Proportional to 7,647.30, 10,567.78 and 6,512.79

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Solution

The fourth proportional to 7,647.30, 10,567.78 and 6,512.79 is: 9,000.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,647.30 : 10,567.78 = 6,512.79 : x
  2. Step 2: Convert to fraction form
    7,647.30/10,567.78 = 6,512.79/x
  3. Step 3: Cross multiply
    7,647.30x = 10,567.78 × 6,512.79
  4. Step 4: Simplify right side
    7,647.30x = 68,825,731.91
  5. Step 5: Solve for x
    x = 68,825,731.91/7,647.30
  6. Step 6: Final answer
    x = 9,000.00

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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.