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Finding the Fourth Proportional to 7,571.80, 10,417.98 and 7,396.84

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Solution

The fourth proportional to 7,571.80, 10,417.98 and 7,396.84 is: 10,177.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,571.80 : 10,417.98 = 7,396.84 : x
  2. Step 2: Convert to fraction form
    7,571.80/10,417.98 = 7,396.84/x
  3. Step 3: Cross multiply
    7,571.80x = 10,417.98 × 7,396.84
  4. Step 4: Simplify right side
    7,571.80x = 77,060,131.18
  5. Step 5: Solve for x
    x = 77,060,131.18/7,571.80
  6. Step 6: Final answer
    x = 10,177.25

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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.