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Finding the Fourth Proportional to 7,561.84, 10,435.90 and 4,205.26

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Solution

The fourth proportional to 7,561.84, 10,435.90 and 4,205.26 is: 5,803.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,561.84 : 10,435.90 = 4,205.26 : x
  2. Step 2: Convert to fraction form
    7,561.84/10,435.90 = 4,205.26/x
  3. Step 3: Cross multiply
    7,561.84x = 10,435.90 × 4,205.26
  4. Step 4: Simplify right side
    7,561.84x = 43,885,672.83
  5. Step 5: Solve for x
    x = 43,885,672.83/7,561.84
  6. Step 6: Final answer
    x = 5,803.57

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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.