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Finding the Fourth Proportional to 11,797.54, 16,280.86 and 6,492.34

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Solution

The fourth proportional to 11,797.54, 16,280.86 and 6,492.34 is: 8,959.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,797.54 : 16,280.86 = 6,492.34 : x
  2. Step 2: Convert to fraction form
    11,797.54/16,280.86 = 6,492.34/x
  3. Step 3: Cross multiply
    11,797.54x = 16,280.86 × 6,492.34
  4. Step 4: Simplify right side
    11,797.54x = 105,700,878.61
  5. Step 5: Solve for x
    x = 105,700,878.61/11,797.54
  6. Step 6: Final answer
    x = 8,959.57

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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.