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Finding the Fourth Proportional to 8,189.90, 12,277.65 and 4,904.30

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Solution

The fourth proportional to 8,189.90, 12,277.65 and 4,904.30 is: 7,352.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,189.90 : 12,277.65 = 4,904.30 : x
  2. Step 2: Convert to fraction form
    8,189.90/12,277.65 = 4,904.30/x
  3. Step 3: Cross multiply
    8,189.90x = 12,277.65 × 4,904.30
  4. Step 4: Simplify right side
    8,189.90x = 60,213,278.90
  5. Step 5: Solve for x
    x = 60,213,278.90/8,189.90
  6. Step 6: Final answer
    x = 7,352.14

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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.