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Finding the Fourth Proportional to 11,787.49, 16,267.13 and 6,482.53

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Solution

The fourth proportional to 11,787.49, 16,267.13 and 6,482.53 is: 8,946.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,787.49 : 16,267.13 = 6,482.53 : x
  2. Step 2: Convert to fraction form
    11,787.49/16,267.13 = 6,482.53/x
  3. Step 3: Cross multiply
    11,787.49x = 16,267.13 × 6,482.53
  4. Step 4: Simplify right side
    11,787.49x = 105,452,158.24
  5. Step 5: Solve for x
    x = 105,452,158.24/11,787.49
  6. Step 6: Final answer
    x = 8,946.11

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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.