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Finding the Fourth Proportional to 12,810.96, 19,211.04 and 5,415.12

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Solution

The fourth proportional to 12,810.96, 19,211.04 and 5,415.12 is: 8,120.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,810.96 : 19,211.04 = 5,415.12 : x
  2. Step 2: Convert to fraction form
    12,810.96/19,211.04 = 5,415.12/x
  3. Step 3: Cross multiply
    12,810.96x = 19,211.04 × 5,415.12
  4. Step 4: Simplify right side
    12,810.96x = 104,030,086.92
  5. Step 5: Solve for x
    x = 104,030,086.92/12,810.96
  6. Step 6: Final answer
    x = 8,120.40

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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.