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Finding the Fourth Proportional to 10,632.06, 15,957.63 and 5,945.22

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Solution

The fourth proportional to 10,632.06, 15,957.63 and 5,945.22 is: 8,923.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,632.06 : 15,957.63 = 5,945.22 : x
  2. Step 2: Convert to fraction form
    10,632.06/15,957.63 = 5,945.22/x
  3. Step 3: Cross multiply
    10,632.06x = 15,957.63 × 5,945.22
  4. Step 4: Simplify right side
    10,632.06x = 94,871,621.03
  5. Step 5: Solve for x
    x = 94,871,621.03/10,632.06
  6. Step 6: Final answer
    x = 8,923.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.