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Finding the Fourth Proportional to 11,602.64, 16,011.65 and 6,297.46

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Solution

The fourth proportional to 11,602.64, 16,011.65 and 6,297.46 is: 8,690.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,602.64 : 16,011.65 = 6,297.46 : x
  2. Step 2: Convert to fraction form
    11,602.64/16,011.65 = 6,297.46/x
  3. Step 3: Cross multiply
    11,602.64x = 16,011.65 × 6,297.46
  4. Step 4: Simplify right side
    11,602.64x = 100,832,725.41
  5. Step 5: Solve for x
    x = 100,832,725.41/11,602.64
  6. Step 6: Final answer
    x = 8,690.50

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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.