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Finding the Fourth Proportional to 8,421.34, 12,659.70 and 7,812.40

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Solution

The fourth proportional to 8,421.34, 12,659.70 and 7,812.40 is: 11,744.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,421.34 : 12,659.70 = 7,812.40 : x
  2. Step 2: Convert to fraction form
    8,421.34/12,659.70 = 7,812.40/x
  3. Step 3: Cross multiply
    8,421.34x = 12,659.70 × 7,812.40
  4. Step 4: Simplify right side
    8,421.34x = 98,902,601.22
  5. Step 5: Solve for x
    x = 98,902,601.22/8,421.34
  6. Step 6: Final answer
    x = 11,744.28

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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.