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Finding the Fourth Proportional to 7,731.68, 10,665.68 and 4,748.18

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Solution

The fourth proportional to 7,731.68, 10,665.68 and 4,748.18 is: 6,550.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,731.68 : 10,665.68 = 4,748.18 : x
  2. Step 2: Convert to fraction form
    7,731.68/10,665.68 = 4,748.18/x
  3. Step 3: Cross multiply
    7,731.68x = 10,665.68 × 4,748.18
  4. Step 4: Simplify right side
    7,731.68x = 50,642,568.46
  5. Step 5: Solve for x
    x = 50,642,568.46/7,731.68
  6. Step 6: Final answer
    x = 6,550.01

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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.