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Finding the Fourth Proportional to 8,356.82, 11,526.88 and 5,376.42

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Solution

The fourth proportional to 8,356.82, 11,526.88 and 5,376.42 is: 7,415.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,356.82 : 11,526.88 = 5,376.42 : x
  2. Step 2: Convert to fraction form
    8,356.82/11,526.88 = 5,376.42/x
  3. Step 3: Cross multiply
    8,356.82x = 11,526.88 × 5,376.42
  4. Step 4: Simplify right side
    8,356.82x = 61,973,348.17
  5. Step 5: Solve for x
    x = 61,973,348.17/8,356.82
  6. Step 6: Final answer
    x = 7,415.90

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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.