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Finding the Fourth Proportional to 7,430.81, 11,146.10 and 1,808.52

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Solution

The fourth proportional to 7,430.81, 11,146.10 and 1,808.52 is: 2,712.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,430.81 : 11,146.10 = 1,808.52 : x
  2. Step 2: Convert to fraction form
    7,430.81/11,146.10 = 1,808.52/x
  3. Step 3: Cross multiply
    7,430.81x = 11,146.10 × 1,808.52
  4. Step 4: Simplify right side
    7,430.81x = 20,157,893.93
  5. Step 5: Solve for x
    x = 20,157,893.93/7,430.81
  6. Step 6: Final answer
    x = 2,712.75

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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.