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Finding the Fourth Proportional to 7,767.55, 10,711.80 and 5,221.06

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Solution

The fourth proportional to 7,767.55, 10,711.80 and 5,221.06 is: 7,200.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,767.55 : 10,711.80 = 5,221.06 : x
  2. Step 2: Convert to fraction form
    7,767.55/10,711.80 = 5,221.06/x
  3. Step 3: Cross multiply
    7,767.55x = 10,711.80 × 5,221.06
  4. Step 4: Simplify right side
    7,767.55x = 55,926,950.51
  5. Step 5: Solve for x
    x = 55,926,950.51/7,767.55
  6. Step 6: Final answer
    x = 7,200.08

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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.