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Finding the Fourth Proportional to 7,767.16, 10,711.23 and 5,220.68

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Solution

The fourth proportional to 7,767.16, 10,711.23 and 5,220.68 is: 7,199.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,767.16 : 10,711.23 = 5,220.68 : x
  2. Step 2: Convert to fraction form
    7,767.16/10,711.23 = 5,220.68/x
  3. Step 3: Cross multiply
    7,767.16x = 10,711.23 × 5,220.68
  4. Step 4: Simplify right side
    7,767.16x = 55,919,904.24
  5. Step 5: Solve for x
    x = 55,919,904.24/7,767.16
  6. Step 6: Final answer
    x = 7,199.53

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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.