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Finding the Fourth Proportional to 11,730.80, 16,180.08 and 7,535

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Solution

The fourth proportional to 11,730.80, 16,180.08 and 7,535 is: 10,392.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,730.80 : 16,180.08 = 7,535 : x
  2. Step 2: Convert to fraction form
    11,730.80/16,180.08 = 7,535/x
  3. Step 3: Cross multiply
    11,730.80x = 16,180.08 × 7,535
  4. Step 4: Simplify right side
    11,730.80x = 121,916,902.80
  5. Step 5: Solve for x
    x = 121,916,902.80/11,730.80
  6. Step 6: Final answer
    x = 10,392.89

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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.