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Finding the Fourth Proportional to 7,771.02, 11,628.48 and 6,688.44

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Solution

The fourth proportional to 7,771.02, 11,628.48 and 6,688.44 is: 10,008.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771.02 : 11,628.48 = 6,688.44 : x
  2. Step 2: Convert to fraction form
    7,771.02/11,628.48 = 6,688.44/x
  3. Step 3: Cross multiply
    7,771.02x = 11,628.48 × 6,688.44
  4. Step 4: Simplify right side
    7,771.02x = 77,776,390.77
  5. Step 5: Solve for x
    x = 77,776,390.77/7,771.02
  6. Step 6: Final answer
    x = 10,008.52

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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.