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Finding the Fourth Proportional to 12,041.09, 16,615.98 and 7,004.16

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Solution

The fourth proportional to 12,041.09, 16,615.98 and 7,004.16 is: 9,665.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,041.09 : 16,615.98 = 7,004.16 : x
  2. Step 2: Convert to fraction form
    12,041.09/16,615.98 = 7,004.16/x
  3. Step 3: Cross multiply
    12,041.09x = 16,615.98 × 7,004.16
  4. Step 4: Simplify right side
    12,041.09x = 116,380,982.48
  5. Step 5: Solve for x
    x = 116,380,982.48/12,041.09
  6. Step 6: Final answer
    x = 9,665.32

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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.