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Finding the Fourth Proportional to 8,284.95, 11,437.47 and 6,392.28

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Solution

The fourth proportional to 8,284.95, 11,437.47 and 6,392.28 is: 8,824.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,284.95 : 11,437.47 = 6,392.28 : x
  2. Step 2: Convert to fraction form
    8,284.95/11,437.47 = 6,392.28/x
  3. Step 3: Cross multiply
    8,284.95x = 11,437.47 × 6,392.28
  4. Step 4: Simplify right side
    8,284.95x = 73,111,510.73
  5. Step 5: Solve for x
    x = 73,111,510.73/8,284.95
  6. Step 6: Final answer
    x = 8,824.62

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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.