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Finding the Fourth Proportional to 10,601.46, 14,632.86 and 6,620.16

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Solution

The fourth proportional to 10,601.46, 14,632.86 and 6,620.16 is: 9,137.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,601.46 : 14,632.86 = 6,620.16 : x
  2. Step 2: Convert to fraction form
    10,601.46/14,632.86 = 6,620.16/x
  3. Step 3: Cross multiply
    10,601.46x = 14,632.86 × 6,620.16
  4. Step 4: Simplify right side
    10,601.46x = 96,871,874.46
  5. Step 5: Solve for x
    x = 96,871,874.46/10,601.46
  6. Step 6: Final answer
    x = 9,137.60

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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.