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Finding the Fourth Proportional to 10,745.92, 16,064.16 and 9,632.80

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Solution

The fourth proportional to 10,745.92, 16,064.16 and 9,632.80 is: 14,400.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,745.92 : 16,064.16 = 9,632.80 : x
  2. Step 2: Convert to fraction form
    10,745.92/16,064.16 = 9,632.80/x
  3. Step 3: Cross multiply
    10,745.92x = 16,064.16 × 9,632.80
  4. Step 4: Simplify right side
    10,745.92x = 154,742,840.45
  5. Step 5: Solve for x
    x = 154,742,840.45/10,745.92
  6. Step 6: Final answer
    x = 14,400.15

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.