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Finding the Fourth Proportional to 7,562.68, 10,434.09 and 4,577.56

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Solution

The fourth proportional to 7,562.68, 10,434.09 and 4,577.56 is: 6,315.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,562.68 : 10,434.09 = 4,577.56 : x
  2. Step 2: Convert to fraction form
    7,562.68/10,434.09 = 4,577.56/x
  3. Step 3: Cross multiply
    7,562.68x = 10,434.09 × 4,577.56
  4. Step 4: Simplify right side
    7,562.68x = 47,762,673.02
  5. Step 5: Solve for x
    x = 47,762,673.02/7,562.68
  6. Step 6: Final answer
    x = 6,315.58

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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.