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Finding the Fourth Proportional to 7,729.60, 10,655.23 and 6,048.09

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Solution

The fourth proportional to 7,729.60, 10,655.23 and 6,048.09 is: 8,337.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,729.60 : 10,655.23 = 6,048.09 : x
  2. Step 2: Convert to fraction form
    7,729.60/10,655.23 = 6,048.09/x
  3. Step 3: Cross multiply
    7,729.60x = 10,655.23 × 6,048.09
  4. Step 4: Simplify right side
    7,729.60x = 64,443,790.01
  5. Step 5: Solve for x
    x = 64,443,790.01/7,729.60
  6. Step 6: Final answer
    x = 8,337.27

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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.