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Finding the Fourth Proportional to 10,632.56, 14,647.55 and 7,439.90

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Solution

The fourth proportional to 10,632.56, 14,647.55 and 7,439.90 is: 10,249.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,632.56 : 14,647.55 = 7,439.90 : x
  2. Step 2: Convert to fraction form
    10,632.56/14,647.55 = 7,439.90/x
  3. Step 3: Cross multiply
    10,632.56x = 14,647.55 × 7,439.90
  4. Step 4: Simplify right side
    10,632.56x = 108,976,196.81
  5. Step 5: Solve for x
    x = 108,976,196.81/10,632.56
  6. Step 6: Final answer
    x = 10,249.30

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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.