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Finding the Fourth Proportional to 7,748.88, 10,688.01 and 4,766.36

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Solution

The fourth proportional to 7,748.88, 10,688.01 and 4,766.36 is: 6,574.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,748.88 : 10,688.01 = 4,766.36 : x
  2. Step 2: Convert to fraction form
    7,748.88/10,688.01 = 4,766.36/x
  3. Step 3: Cross multiply
    7,748.88x = 10,688.01 × 4,766.36
  4. Step 4: Simplify right side
    7,748.88x = 50,942,832.03
  5. Step 5: Solve for x
    x = 50,942,832.03/7,748.88
  6. Step 6: Final answer
    x = 6,574.22

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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.