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Finding the Fourth Proportional to 10,595.62, 14,637.21 and 8,468.42

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Solution

The fourth proportional to 10,595.62, 14,637.21 and 8,468.42 is: 11,698.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,595.62 : 14,637.21 = 8,468.42 : x
  2. Step 2: Convert to fraction form
    10,595.62/14,637.21 = 8,468.42/x
  3. Step 3: Cross multiply
    10,595.62x = 14,637.21 × 8,468.42
  4. Step 4: Simplify right side
    10,595.62x = 123,954,041.91
  5. Step 5: Solve for x
    x = 123,954,041.91/10,595.62
  6. Step 6: Final answer
    x = 11,698.61

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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.