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Finding the Fourth Proportional to 8,366.84, 11,536.13 and 7,230.47

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Solution

The fourth proportional to 8,366.84, 11,536.13 and 7,230.47 is: 9,969.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,366.84 : 11,536.13 = 7,230.47 : x
  2. Step 2: Convert to fraction form
    8,366.84/11,536.13 = 7,230.47/x
  3. Step 3: Cross multiply
    8,366.84x = 11,536.13 × 7,230.47
  4. Step 4: Simplify right side
    8,366.84x = 83,411,548.05
  5. Step 5: Solve for x
    x = 83,411,548.05/8,366.84
  6. Step 6: Final answer
    x = 9,969.31

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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.