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Finding the Fourth Proportional to 8,331.64, 11,497.98 and 4,606.36

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Solution

The fourth proportional to 8,331.64, 11,497.98 and 4,606.36 is: 6,356.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,331.64 : 11,497.98 = 4,606.36 : x
  2. Step 2: Convert to fraction form
    8,331.64/11,497.98 = 4,606.36/x
  3. Step 3: Cross multiply
    8,331.64x = 11,497.98 × 4,606.36
  4. Step 4: Simplify right side
    8,331.64x = 52,963,835.15
  5. Step 5: Solve for x
    x = 52,963,835.15/8,331.64
  6. Step 6: Final answer
    x = 6,356.95

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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.