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Finding the Fourth Proportional to 8,283.61, 11,428.32 and 4,926.57

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Solution

The fourth proportional to 8,283.61, 11,428.32 and 4,926.57 is: 6,796.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,283.61 : 11,428.32 = 4,926.57 : x
  2. Step 2: Convert to fraction form
    8,283.61/11,428.32 = 4,926.57/x
  3. Step 3: Cross multiply
    8,283.61x = 11,428.32 × 4,926.57
  4. Step 4: Simplify right side
    8,283.61x = 56,302,418.46
  5. Step 5: Solve for x
    x = 56,302,418.46/8,283.61
  6. Step 6: Final answer
    x = 6,796.85

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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.