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Finding the Fourth Proportional to 8,292.96, 12,378.42 and 7,308.72

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Solution

The fourth proportional to 8,292.96, 12,378.42 and 7,308.72 is: 10,909.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,292.96 : 12,378.42 = 7,308.72 : x
  2. Step 2: Convert to fraction form
    8,292.96/12,378.42 = 7,308.72/x
  3. Step 3: Cross multiply
    8,292.96x = 12,378.42 × 7,308.72
  4. Step 4: Simplify right side
    8,292.96x = 90,470,405.82
  5. Step 5: Solve for x
    x = 90,470,405.82/8,292.96
  6. Step 6: Final answer
    x = 10,909.30

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.