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Finding the Fourth Proportional to 7,562.81, 10,434.26 and 4,577.69

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Solution

The fourth proportional to 7,562.81, 10,434.26 and 4,577.69 is: 6,315.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,562.81 : 10,434.26 = 4,577.69 : x
  2. Step 2: Convert to fraction form
    7,562.81/10,434.26 = 4,577.69/x
  3. Step 3: Cross multiply
    7,562.81x = 10,434.26 × 4,577.69
  4. Step 4: Simplify right side
    7,562.81x = 47,764,732.60
  5. Step 5: Solve for x
    x = 47,764,732.60/7,562.81
  6. Step 6: Final answer
    x = 6,315.74

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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.