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Finding the Fourth Proportional to 11,787.94, 16,267.56 and 6,482.98

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Solution

The fourth proportional to 11,787.94, 16,267.56 and 6,482.98 is: 8,946.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,787.94 : 16,267.56 = 6,482.98 : x
  2. Step 2: Convert to fraction form
    11,787.94/16,267.56 = 6,482.98/x
  3. Step 3: Cross multiply
    11,787.94x = 16,267.56 × 6,482.98
  4. Step 4: Simplify right side
    11,787.94x = 105,462,266.13
  5. Step 5: Solve for x
    x = 105,462,266.13/11,787.94
  6. Step 6: Final answer
    x = 8,946.62

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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.