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Finding the Fourth Proportional to 11,783.03, 16,258.61 and 7,809.53

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Solution

The fourth proportional to 11,783.03, 16,258.61 and 7,809.53 is: 10,775.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,783.03 : 16,258.61 = 7,809.53 : x
  2. Step 2: Convert to fraction form
    11,783.03/16,258.61 = 7,809.53/x
  3. Step 3: Cross multiply
    11,783.03x = 16,258.61 × 7,809.53
  4. Step 4: Simplify right side
    11,783.03x = 126,971,982.21
  5. Step 5: Solve for x
    x = 126,971,982.21/11,783.03
  6. Step 6: Final answer
    x = 10,775.84

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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.