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Finding the Fourth Proportional to 11,903.92, 16,427.42 and 6,598.80

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Solution

The fourth proportional to 11,903.92, 16,427.42 and 6,598.80 is: 9,106.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,903.92 : 16,427.42 = 6,598.80 : x
  2. Step 2: Convert to fraction form
    11,903.92/16,427.42 = 6,598.80/x
  3. Step 3: Cross multiply
    11,903.92x = 16,427.42 × 6,598.80
  4. Step 4: Simplify right side
    11,903.92x = 108,401,259.10
  5. Step 5: Solve for x
    x = 108,401,259.10/11,903.92
  6. Step 6: Final answer
    x = 9,106.35

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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.