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Finding the Fourth Proportional to 11,853.50, 16,357.59 and 6,476

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Solution

The fourth proportional to 11,853.50, 16,357.59 and 6,476 is: 8,936.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,853.50 : 16,357.59 = 6,476 : x
  2. Step 2: Convert to fraction form
    11,853.50/16,357.59 = 6,476/x
  3. Step 3: Cross multiply
    11,853.50x = 16,357.59 × 6,476
  4. Step 4: Simplify right side
    11,853.50x = 105,931,752.84
  5. Step 5: Solve for x
    x = 105,931,752.84/11,853.50
  6. Step 6: Final answer
    x = 8,936.75

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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.